4/22/03 252y033app
Take-home exam Problem 1 solutions.
Solutions for problem 1 begin here.
Solutions for problem 2 begin on page 14.
Solutions for problem 3 begin on page 34.
————— 5/1/2003 4:16:03 PM ————————————————————
Welcome to Minitab, press F1 for help.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-9.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-9.mtw
# Worksheet was saved on Wed Apr 16 2003
Results for: 2x0331-90.MTW
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-90.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-90.MTW
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-9.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-9.mtw
# Worksheet was saved on Wed Apr 16 2003
Results for: 2x0331-9.mtw Look at these 2 pages if you divided the y column by
100! Notice the difference between this solution and the solution with y left alone.
Both are right, but I have not rechecked every paper for errors in my grading
because you divided by 100.
MTB > let c1 = c1/100
MTB > Execute "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB" 1.
Executing from file: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB
Regression Analysis: y versus x
The regression equation is
y = 0.588 + 0.0227 x
Coefficients here were divided by 100.
Predictor
Coef
SE Coef
T
P
Constant
0.58756
0.04887
12.02
0.000
x
0.022705
0.002199
10.32
0.000
Note that the standard error of the b1 coefficient was divided by 100, but the
t-test was unaffected.
S = 0.04806
R-Sq = 93.0%
100 but R-sq is unchanged.
R-Sq(adj) = 92.1% Note that s was divided by
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
0.24613
0.01848
0.26461
Unusual Observations
Obs
x
y
2
21.6
1.1900
MS
0.24613
0.00231
Fit
1.0778
F
106.57
SE Fit
0.0152
P
0.000
Residual
0.1122
St Resid
2.46R
R denotes an observation with a large standardized residual
1
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
0.86
1.19
1.33
1.22
1.16
1.13
1.12
0.86
0.90
0.90
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
10.8704
25.6921
42.2541
34.7944
30.3804
29.2444
26.9808
10.7586
13.8600
11.3130
0.7396
1.4161
1.7689
1.4884
1.3456
1.2769
1.2544
0.7396
0.8100
0.8100
Data Display
sumy
sumx
smxsq
smxy
smysq
10.6700
211.160
4936.30
236.148
11.6495
Divided by 100
Unaffected
Unaffected
Divided by 100
Divided by 10000
Data Display
n
10.0000
SSx
477.450
Unaffected
SSy
0.264610
Divided by 10000
Sxy
10.8405
Divided by 100
xbar
21.1160
Unaffected
ybar
1.06700
Divided by 100
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-9.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-9.mtw
* NOTE * Existing file replaced.
2
This is the solution if you used 90 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-90.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-90.MTW
# Worksheet was saved on Thu May 01 2003
A worksheet of the same name is already open... current worksheet overwritten.
Results for: 2x0331-90.MTW
MTB > Execute "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB" 1.
Executing from file: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB
Regression Analysis: y versus x
The regression equation is
y = 58.8 + 2.27 x
Predictor
Constant
x
Coef
58.756
2.2705
S = 4.806
SE Coef
4.887
0.2199
R-Sq = 93.0%
Analysis of Variance
Source
DF
Regression
1
Residual Error
8
Total
9
P
0.000
0.000
R-Sq(adj) = 92.1%
SS
2461.3
184.8
2646.1
Unusual Observations
Obs
x
y
2
21.6
119.00
T
12.02
10.32
MS
2461.3
23.1
Fit
107.78
F
106.57
SE Fit
1.52
P
0.000
Residual
11.22
St Resid
2.46R
R denotes an observation with a large standardized residual
Data Display
Row
1
2
3
4
5
6
7
8
9
10
y
86
119
133
122
116
113
112
86
90
90
x
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
C3
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
C4
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1131.30
C5
7396
14161
17689
14884
13456
12769
12544
7396
8100
8100
Data Display
sumy
sumx
smxsq
smxy
smysq
1067.00
211.160
4936.30
23614.8
116495
Data Display
n
SSx
SSy
Sxy
xbar
ybar
MTB >
10.0000
477.450
2646.10
1084.05
21.1160
106.700
3
This is the solution if you used 91 for the last gas price.
————— 4/21/2003 9:59:02 PM ————————————————————
Welcome to Minitab, press F1 for help.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-91.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-91.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-91.MTW
MTB > Execute "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB" 1.
Executing from file: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\252SOLS.MTB
Regression Analysis: y versus x
The regression equation is
y = 59.2 + 2.25 x
Predictor
Constant
x
Coef
59.234
2.2526
S = 4.885
SE Coef
4.967
0.2236
R-Sq = 92.7%
T
11.92
10.08
P
0.000
0.000
R-Sq(adj) = 91.8%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2422.7
190.9
2613.6
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2422.7
23.9
Fit
107.87
F
101.51
SE Fit
1.55
P
0.000
Residual
11.13
St Resid
2.40R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
91
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1143.87
7396
14161
17689
14884
13456
12769
12544
7396
8100
8281
Data Display
sumy
sumx
smxsq
smxy
smysq
1068.00
211.160
4936.30
23627.4
116676
Data Display
n
SSx
10.0000
477.450
4
SSy
2613.60
Sxy
1075.50
xbar
21.1160
ybar
106.800
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-91.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-91.MTW
* NOTE * Existing file replaced.
5
This is the solution if you used 92 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-92.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-92.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-92.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 59.7 + 2.23 x
Predictor
Constant
x
Coef
59.712
2.2347
S = 4.982
SE Coef
5.066
0.2280
R-Sq = 92.3%
T
11.79
9.80
P
0.000
0.000
R-Sq(adj) = 91.4%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2384.3
198.6
2582.9
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2384.3
24.8
Fit
107.96
F
96.06
SE Fit
1.58
P
0.000
Residual
11.04
St Resid
2.34R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
92
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1156.44
7396
14161
17689
14884
13456
12769
12544
7396
8100
8464
Data Display
sumy
sumx
smxsq
smxy
smysq
1069.00
211.160
4936.30
23640.0
116859
Data Display
n
10.0000
SSx
477.450
SSy
2582.90
Sxy
1066.96
xbar
21.1160
ybar
106.900
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-92.MTW";
6
This is the solution if you used 93 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-93.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-93.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-93.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 60.2 + 2.22 x
Predictor
Constant
x
Coef
60.190
2.2168
S = 5.096
SE Coef
5.181
0.2332
R-Sq = 91.9%
T
11.62
9.51
P
0.000
0.000
R-Sq(adj) = 90.9%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2346.3
207.7
2554.0
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2346.3
26.0
Fit
108.05
F
90.36
SE Fit
1.62
P
0.000
Residual
10.95
St Resid
2.27R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
93
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1169.01
7396
14161
17689
14884
13456
12769
12544
7396
8100
8649
Data Display
sumy
sumx
smxsq
smxy
smysq
1070.00
211.160
4936.30
23652.5
117044
Data Display
n
10.0000
SSx
477.450
SSy
2554.00
Sxy
1058.41
xbar
21.1160
ybar
107.000
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-93.MTW";
7
This is the solution if you used 94 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-94.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-94.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-94.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 60.7 + 2.20 x
Predictor
Constant
x
Coef
60.668
2.1989
S = 5.224
SE Coef
5.312
0.2391
R-Sq = 91.4%
T
11.42
9.20
P
0.000
0.000
R-Sq(adj) = 90.3%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2308.5
218.4
2526.9
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2308.5
27.3
Fit
108.14
F
84.58
SE Fit
1.66
P
0.000
Residual
10.86
St Resid
2.19R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
94
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1181.58
7396
14161
17689
14884
13456
12769
12544
7396
8100
8836
Data Display
sumy
sumx
smxsq
smxy
smysq
1071.00
211.160
4936.30
23665.1
117231
Data Display
n
SSx
SSy
Sxy
xbar
ybar
10.0000
477.450
2526.90
1049.86
21.1160
107.100
8
This is the solution if you used 95 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-95.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-95.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-95.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 61.1 + 2.18 x
Predictor
Constant
x
Coef
61.146
2.1810
S = 5.368
SE Coef
5.458
0.2456
R-Sq = 90.8%
T
11.20
8.88
P
0.000
0.000
R-Sq(adj) = 89.6%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2271.1
230.5
2501.6
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2271.1
28.8
Fit
108.23
F
78.83
SE Fit
1.70
P
0.000
Residual
10.77
St Resid
2.11R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
95
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1194.15
7396
14161
17689
14884
13456
12769
12544
7396
8100
9025
Data Display
sumy
sumx
smxsq
smxy
smysq
1072.00
211.160
4936.30
23677.7
117420
Data Display
n
10.0000
SSx
477.450
SSy
2501.60
Sxy
1041.32
xbar
21.1160
ybar
107.200
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-95.MTW";
9
This is the solution if you used 96 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-96.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-96.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-96.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 61.6 + 2.16 x
Predictor
Constant
x
Coef
61.624
2.1631
S = 5.524
SE Coef
5.617
0.2528
R-Sq = 90.1%
T
10.97
8.56
P
0.000
0.000
R-Sq(adj) = 88.9%
Analysis of Variance
Source
Regression
Residual Error
Total
DF
1
8
9
SS
2234.0
244.1
2478.1
Unusual Observations
Obs
x
y
2
21.6
119.00
MS
2234.0
30.5
Fit
108.33
F
73.21
SE Fit
1.75
P
0.000
Residual
10.67
St Resid
2.04R
R denotes an observation with a large standardized residual
Data Display
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
96
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1206.72
7396
14161
17689
14884
13456
12769
12544
7396
8100
9216
Data Display
sumy
sumx
smxsq
smxy
smysq
1073.00
211.160
4936.30
23690.2
117611
Data Display
n
10.0000
SSx
477.450
SSy
2478.10
Sxy
1032.77
xbar
21.1160
ybar
107.300
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-96.MTW";
10
This is the solution if you used 97 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-97.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-97.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-97.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 62.1 + 2.15 x
Predictor
Constant
x
Coef
62.102
2.1452
S = 5.692
SE Coef
5.788
0.2605
R-Sq = 89.4%
T
10.73
8.23
P
0.000
0.000
R-Sq(adj) = 88.1%
Analysis of Variance
Source
Regression
Residual Error
Total
Data Display
DF
1
8
9
SS
2197.2
259.2
2456.4
MS
2197.2
32.4
F
67.81
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
97
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1219.29
7396
14161
17689
14884
13456
12769
12544
7396
8100
9409
P
0.000
Data Display
sumy
sumx
smxsq
smxy
smysq
1074.00
211.160
4936.30
23702.8
117804
Data Display
n
10.0000
SSx
477.450
SSy
2456.40
Sxy
1024.23
xbar
21.1160
ybar
107.400
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-97.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-97.MTW
* NOTE * Existing file replaced.
11
This is the solution if you used 98 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-98.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-98.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-98.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 62.6 + 2.13 x
Predictor
Constant
x
Coef
62.580
2.1273
S = 5.872
SE Coef
5.971
0.2687
R-Sq = 88.7%
T
10.48
7.92
P
0.000
0.000
R-Sq(adj) = 87.3%
Analysis of Variance
Source
Regression
Residual Error
Total
Data Display
DF
1
8
9
SS
2160.7
275.8
2436.5
MS
2160.7
34.5
F
62.66
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
98
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1231.86
7396
14161
17689
14884
13456
12769
12544
7396
8100
9604
P
0.000
Data Display
sumy
sumx
smxsq
smxy
smysq
1075.00
211.160
4936.30
23715.4
117999
Data Display
n
10.0000
SSx
477.450
SSy
2436.50
Sxy
1015.68
xbar
21.1160
ybar
107.500
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-98.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-98.MTW
* NOTE * Existing file replaced.
12
This is the solution if you used 99 for the last gas price.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-99.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-99.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-99.MTW
MTB > exec '252sols'
Executing from file: 252sols.MTB
Regression Analysis: y versus x
The regression equation is
y = 63.1 + 2.11 x
Predictor
Constant
x
Coef
63.058
2.1094
S = 6.062
SE Coef
6.164
0.2774
R-Sq = 87.8%
T
10.23
7.60
P
0.000
0.000
R-Sq(adj) = 86.3%
Analysis of Variance
Source
Regression
Residual Error
Total
Data Display
DF
1
8
9
SS
2124.5
293.9
2418.4
MS
2124.5
36.7
F
57.82
Row
y
x
C3
C4
C5
1
2
3
4
5
6
7
8
9
10
86
119
133
122
116
113
112
86
90
99
12.64
21.59
31.77
28.52
26.19
25.88
24.09
12.51
15.40
12.57
159.77
466.13
1009.33
813.39
685.92
669.77
580.33
156.50
237.16
158.00
1087.04
2569.21
4225.41
3479.44
3038.04
2924.44
2698.08
1075.86
1386.00
1244.43
7396
14161
17689
14884
13456
12769
12544
7396
8100
9801
P
0.000
Data Display
sumy
sumx
smxsq
smxy
smysq
1076.00
211.160
4936.30
23727.9
118196
Data Display
n
10.0000
SSx
477.450
SSy
2418.40
Sxy
1007.13
xbar
21.1160
ybar
107.600
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-99.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-99.MTW
* NOTE * Existing file replaced.
MTB >
13
Take-home exam Problem 2 solutions
Guide: Most of these computations are explained in the exam solution. The f
column was done by hand.k12 is a check to see that the sums of O and E are both
n. k13 is the sum of the E-O column. K16 is the sum of the O-sq/E column – n is
subtracted to get chisq2, it may differ a bit from chi-sq because of rounding
errors.
This is the solution if you used 50 for the -1 to zero observed frequency.
————— 4/22/2003 12:05:51 AM ————————————————————
Welcome to Minitab, press F1 for help.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-30.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-30.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-30.mtw
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
50
40
25
5
0.102564
0.128205
0.153846
0.256410
0.205128
0.128205
0.025641
0.10256
0.23077
0.38462
0.64103
0.84615
0.97436
1.00000
Data Display
n
195.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
50
40
25
5
5.9865
14.6055
31.5900
45.3180
45.3180
31.5900
20.5920
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
14
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.10256
0.23077
0.38462
0.64103
0.84615
0.97436
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.071864
0.125169
0.117015
0.141026
0.113754
0.079959
0.000000
Data Display
max D
0.141026
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
50
40
25
5
5.9865
14.6055
31.5900
45.3180
45.3180
31.5900
20.5920
-14.0135
-10.3945
1.5900
-4.6820
5.3180
6.5900
15.5920
196.378
108.046
2.528
21.921
28.281
43.428
243.110
32.8035
7.3976
0.0800
0.4837
0.6241
1.3747
11.8061
66.8170
42.7921
28.4900
55.1657
35.3061
19.7847
1.2141
Data Display
n
K12
K13
chisq2
chisq
K16
195.000
195.000
-0.000000000
54.5697
54.5697
249.570
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
50
40
25
5
5.9865
14.6055
31.5900
45.3180
45.3180
31.5900
20.5920
0.10256
0.23077
0.38462
0.64103
0.84615
0.97436
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.071864
0.125169
0.117015
0.141026
0.113754
0.079959
0.000000
0.102564
0.128205
0.153846
0.256410
0.205128
0.128205
0.025641
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-14.0135
-10.3945
1.5900
-4.6820
5.3180
6.5900
15.5920
196.378
108.046
2.528
21.921
28.281
43.428
243.110
32.8035
7.3976
0.0800
0.4837
0.6241
1.3747
11.8061
66.8170
42.7921
28.4900
55.1657
35.3061
19.7847
1.2141
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-30.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-30.mtw
* NOTE * Existing file replaced.
15
This is the solution if you used 51 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-31.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-31.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-31.MTW
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
1
2
3
4
5
6
7
O
20
25
30
51
40
25
5
O/n
0.102041
0.127551
0.153061
0.260204
0.204082
0.127551
0.025510
FO
0.10204
0.22959
0.38265
0.64286
0.84694
0.97449
1.00000
Data Display
n
196.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
51
40
25
5
6.0172
14.6804
31.7520
45.5504
45.5504
31.7520
20.6976
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.10204
0.22959
0.38265
0.64286
0.84694
0.97449
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.071341
0.123992
0.115053
0.142857
0.114539
0.080090
0.000000
Data Display
max D
0.142857
16
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
51
40
25
5
6.0172
14.6804
31.7520
45.5504
45.5504
31.7520
20.6976
-13.9828
-10.3196
1.7520
-5.4496
5.5504
6.7520
15.6976
195.519
106.494
3.070
29.698
30.807
45.590
246.415
32.4933
7.2542
0.0967
0.6520
0.6763
1.4358
11.9055
66.4761
42.5738
28.3447
57.1016
35.1259
19.6838
1.2079
Data Display
n
K12
K13
chisq2
chisq
K16
196.000
196.000
-0.000000000
54.5137
54.5137
250.514
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
51
40
25
5
6.0172
14.6804
31.7520
45.5504
45.5504
31.7520
20.6976
0.10204
0.22959
0.38265
0.64286
0.84694
0.97449
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.071341
0.123992
0.115053
0.142857
0.114539
0.080090
0.000000
0.102041
0.127551
0.153061
0.260204
0.204082
0.127551
0.025510
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.9828
-10.3196
1.7520
-5.4496
5.5504
6.7520
15.6976
195.519
106.494
3.070
29.698
30.807
45.590
246.415
32.4933
7.2542
0.0967
0.6520
0.6763
1.4358
11.9055
66.4761
42.5738
28.3447
57.1016
35.1259
19.6838
1.2079
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-31.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-31.MTW
* NOTE * Existing file replaced.
17
This is the solution if you used 52 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-32.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-32.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-32.mtw
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
52
40
25
5
0.101523
0.126904
0.152284
0.263959
0.203046
0.126904
0.025381
0.10152
0.22843
0.38071
0.64467
0.84772
0.97462
1.00000
Data Display
n
197.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
52
40
25
5
6.0479
14.7553
31.9140
45.7828
45.7828
31.9140
20.8032
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.10152
0.22843
0.38071
0.64467
0.84772
0.97462
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.070823
0.122826
0.113111
0.144670
0.115316
0.080219
0.000000
Data Display
max D
0.144670
18
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
52
40
25
5
6.0479
14.7553
31.9140
45.7828
45.7828
31.9140
20.8032
-13.9521
-10.2447
1.9140
-6.2172
5.7828
6.9140
15.8032
194.661
104.954
3.663
38.654
33.441
47.803
249.741
32.1866
7.1130
0.1148
0.8443
0.7304
1.4979
12.0049
66.1387
42.3577
28.2008
59.0615
34.9476
19.5839
1.2017
Data Display
n
K12
K13
chisq2
chisq
K16
197.000
197.000
0.000000000
54.4918
54.4918
251.492
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
52
40
25
5
6.0479
14.7553
31.9140
45.7828
45.7828
31.9140
20.8032
0.10152
0.22843
0.38071
0.64467
0.84772
0.97462
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.070823
0.122826
0.113111
0.144670
0.115316
0.080219
0.000000
0.101523
0.126904
0.152284
0.263959
0.203046
0.126904
0.025381
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.9521
-10.2447
1.9140
-6.2172
5.7828
6.9140
15.8032
194.661
104.954
3.663
38.654
33.441
47.803
249.741
32.1866
7.1130
0.1148
0.8443
0.7304
1.4979
12.0049
66.1387
42.3577
28.2008
59.0615
34.9476
19.5839
1.2017
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-32.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-32.mtw
* NOTE * Existing file replaced.
19
This is the solution if you used 53 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-33.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-33.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-33.MTW
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
53
40
25
5
0.101010
0.126263
0.151515
0.267677
0.202020
0.126263
0.025253
0.10101
0.22727
0.37879
0.64646
0.84848
0.97475
1.00000
Data Display
n
198.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
53
40
25
5
6.0786
14.8302
32.0760
46.0152
46.0152
32.0760
20.9088
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.10101
0.22727
0.37879
0.64646
0.84848
0.97475
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.070310
0.121673
0.111188
0.146465
0.116085
0.080347
0.000000
Data Display
max D
0.146465
20
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
53
40
25
5
6.0786
14.8302
32.0760
46.0152
46.0152
32.0760
20.9088
-13.9214
-10.1698
2.0760
-6.9848
6.0152
7.0760
15.9088
193.805
103.425
4.310
48.787
36.183
50.070
253.090
31.8832
6.9739
0.1344
1.0602
0.7863
1.5610
12.1045
65.8046
42.1437
28.0584
61.0450
34.7711
19.4850
1.1957
Data Display
n
K12
K13
chisq2
chisq
K16
198.000
198.000
0
54.5035
54.5035
252.504
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
53
40
25
5
6.0786
14.8302
32.0760
46.0152
46.0152
32.0760
20.9088
0.10101
0.22727
0.37879
0.64646
0.84848
0.97475
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.070310
0.121673
0.111188
0.146465
0.116085
0.080347
0.000000
0.101010
0.126263
0.151515
0.267677
0.202020
0.126263
0.025253
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.9214
-10.1698
2.0760
-6.9848
6.0152
7.0760
15.9088
193.805
103.425
4.310
48.787
36.183
50.070
253.090
31.8832
6.9739
0.1344
1.0602
0.7863
1.5610
12.1045
65.8046
42.1437
28.0584
61.0450
34.7711
19.4850
1.1957
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-33.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-33.MTW
* NOTE * Existing file replaced.
21
This is the solution if you used 54 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-34.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-34.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-34.mtw
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
54
40
25
5
0.100503
0.125628
0.150754
0.271357
0.201005
0.125628
0.025126
0.10050
0.22613
0.37688
0.64824
0.84925
0.97487
1.00000
Data Display
n
199.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
54
40
25
5
6.1093
14.9051
32.2380
46.2476
46.2476
32.2380
21.0144
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.10050
0.22613
0.37688
0.64824
0.84925
0.97487
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.069803
0.120531
0.109284
0.148241
0.116846
0.080474
0.000000
Data Display
max D
0.148241
22
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
54
40
25
5
6.1093
14.9051
32.2380
46.2476
46.2476
32.2380
21.0144
-13.8907
-10.0949
2.2380
-7.7524
6.2476
7.2380
16.0144
192.952
101.907
5.009
60.100
39.033
52.389
256.461
31.5832
6.8371
0.1554
1.2995
0.8440
1.6251
12.2041
65.4739
41.9320
27.9174
63.0519
34.5964
19.3871
1.1897
Data Display
n
K12
K13
chisq2
chisq
K16
199.000
199.000
-0.000000000
54.5483
54.5483
253.548
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
54
40
25
5
6.1093
14.9051
32.2380
46.2476
46.2476
32.2380
21.0144
0.10050
0.22613
0.37688
0.64824
0.84925
0.97487
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.069803
0.120531
0.109284
0.148241
0.116846
0.080474
0.000000
0.100503
0.125628
0.150754
0.271357
0.201005
0.125628
0.025126
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.8907
-10.0949
2.2380
-7.7524
6.2476
7.2380
16.0144
192.952
101.907
5.009
60.100
39.033
52.389
256.461
31.5832
6.8371
0.1554
1.2995
0.8440
1.6251
12.2041
65.4739
41.9320
27.9174
63.0519
34.5964
19.3871
1.1897
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-34.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-34.mtw
* NOTE * Existing file replaced.
23
This is the solution if you used 55 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-35.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-35.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-35.mtw
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
55
40
25
5
0.100
0.125
0.150
0.275
0.200
0.125
0.025
0.100
0.225
0.375
0.650
0.850
0.975
1.000
Data Display
n
200.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
55
40
25
5
6.14
14.98
32.40
46.48
46.48
32.40
21.12
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.100
0.225
0.375
0.650
0.850
0.975
1.000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.0693
0.1194
0.1074
0.1500
0.1176
0.0806
0.0000
Data Display
max D
0.150000
24
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
55
40
25
5
6.14
14.98
32.40
46.48
46.48
32.40
21.12
-13.86
-10.02
2.40
-8.52
6.48
7.40
16.12
192.100
100.400
5.760
72.590
41.990
54.760
259.854
31.2866
6.7023
0.1778
1.5618
0.9034
1.6901
12.3037
65.1466
41.7223
27.7778
65.0818
34.4234
19.2901
1.1837
Data Display
n
K12
K13
chisq2
chisq
K16
200.000
200.000
-0.000000000
54.6257
54.6257
254.626
Data Display
Row
O
E
FO
FE
D
O/n
f
E-O
1
2
3
4
5
6
7
20
25
30
55
40
25
5
6.14
14.98
32.40
46.48
46.48
32.40
21.12
0.100
0.225
0.375
0.650
0.850
0.975
1.000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.0693
0.1194
0.1074
0.1500
0.1176
0.0806
0.0000
0.100
0.125
0.150
0.275
0.200
0.125
0.025
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
-13.86
-10.02
2.40
-8.52
6.48
7.40
16.12
Row
sq
sq/E
O2/E
1
2
3
4
5
6
7
192.100
100.400
5.760
72.590
41.990
54.760
259.854
31.2866
6.7023
0.1778
1.5618
0.9034
1.6901
12.3037
65.1466
41.7223
27.7778
65.0818
34.4234
19.2901
1.1837
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-35.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-35.mtw
* NOTE * Existing file replaced.
25
This is the solution if you used 56 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-36.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-36.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-36.MTW
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
56
40
25
5
0.099502
0.124378
0.149254
0.278607
0.199005
0.124378
0.024876
0.09950
0.22388
0.37313
0.65174
0.85075
0.97512
1.00000
Data Display
n
201.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
56
40
25
5
6.1707
15.0549
32.5620
46.7124
46.7124
32.5620
21.2256
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.09950
0.22388
0.37313
0.65174
0.85075
0.97512
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.068802
0.118281
0.105534
0.151741
0.118346
0.080724
0.000000
Data Display
max D
0.151741
26
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
56
40
25
5
6.1707
15.0549
32.5620
46.7124
46.7124
32.5620
21.2256
-13.8293
-9.9451
2.5620
-9.2876
6.7124
7.5620
16.2256
191.250
98.905
6.564
86.260
45.056
57.184
263.270
30.9932
6.5696
0.2016
1.8466
0.9645
1.7562
12.4034
64.8225
41.5147
27.6396
67.1342
34.2521
19.1942
1.1778
Data Display
n
K12
K13
chisq2
chisq
K16
201.000
201.000
0
54.7351
54.7351
255.735
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
56
40
25
5
6.1707
15.0549
32.5620
46.7124
46.7124
32.5620
21.2256
0.09950
0.22388
0.37313
0.65174
0.85075
0.97512
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.068802
0.118281
0.105534
0.151741
0.118346
0.080724
0.000000
0.099502
0.124378
0.149254
0.278607
0.199005
0.124378
0.024876
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.8293
-9.9451
2.5620
-9.2876
6.7124
7.5620
16.2256
191.250
98.905
6.564
86.260
45.056
57.184
263.270
30.9932
6.5696
0.2016
1.8466
0.9645
1.7562
12.4034
64.8225
41.5147
27.6396
67.1342
34.2521
19.1942
1.1778
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-36.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-36.MTW
* NOTE * Existing file replaced.
27
This is the solution if you used 57 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-37.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-37.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-37.MTW
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
57
40
25
5
0.099010
0.123762
0.148515
0.282178
0.198020
0.123762
0.024752
0.09901
0.22277
0.37129
0.65347
0.85149
0.97525
1.00000
Data Display
n
202.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
57
40
25
5
6.2014
15.1298
32.7240
46.9448
46.9448
32.7240
21.3312
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.09901
0.22277
0.37129
0.65347
0.85149
0.97525
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.068310
0.117172
0.103687
0.153465
0.119085
0.080848
0.000000
Data Display
max D
0.153465
28
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
57
40
25
5
6.2014
15.1298
32.7240
46.9448
46.9448
32.7240
21.3312
-13.7986
-9.8702
2.7240
-10.0552
6.9448
7.7240
16.3312
190.401
97.421
7.420
101.107
48.230
59.660
266.708
30.7030
6.4390
0.2268
2.1537
1.0274
1.8231
12.5032
64.5016
41.3092
27.5028
69.2089
34.0826
19.0991
1.1720
Data Display
n
K12
K13
chisq2
chisq
K16
202.000
202.000
0.000000000
54.8762
54.8762
256.876
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
57
40
25
5
6.2014
15.1298
32.7240
46.9448
46.9448
32.7240
21.3312
0.09901
0.22277
0.37129
0.65347
0.85149
0.97525
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.068310
0.117172
0.103687
0.153465
0.119085
0.080848
0.000000
0.099010
0.123762
0.148515
0.282178
0.198020
0.123762
0.024752
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.7986
-9.8702
2.7240
-10.0552
6.9448
7.7240
16.3312
190.401
97.421
7.420
101.107
48.230
59.660
266.708
30.7030
6.4390
0.2268
2.1537
1.0274
1.8231
12.5032
64.5016
41.3092
27.5028
69.2089
34.0826
19.0991
1.1720
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-37.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-37.MTW
* NOTE * Existing file replaced.
29
This is the solution if you used 58 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-38.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-38.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-38.mtw
MTB > let c8=c10
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
58
40
25
5
0.098522
0.123153
0.147783
0.285714
0.197044
0.123153
0.024631
0.09852
0.22167
0.36946
0.65517
0.85222
0.97537
1.00000
Data Display
n
203.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
58
40
25
5
6.2321
15.2047
32.8860
47.1772
47.1772
32.8860
21.4368
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.09852
0.22167
0.36946
0.65517
0.85222
0.97537
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.067822
0.116075
0.101858
0.155172
0.119817
0.080969
0.000000
Data Display
max D
0.155172
30
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
58
40
25
5
6.2321
15.2047
32.8860
47.1772
47.1772
32.8860
21.4368
-13.7679
-9.7953
2.8860
-10.8228
7.1772
7.8860
16.4368
189.555
95.948
8.329
117.133
51.512
62.189
270.168
30.4159
6.3104
0.2533
2.4828
1.0919
1.8910
12.6030
64.1838
41.1057
27.3673
71.3056
33.9147
19.0050
1.1662
Data Display
n
K12
K13
chisq2
chisq
K16
203.000
203.000
0.000000000
55.0484
55.0484
258.048
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
58
40
25
5
6.2321
15.2047
32.8860
47.1772
47.1772
32.8860
21.4368
0.09852
0.22167
0.36946
0.65517
0.85222
0.97537
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.067822
0.116075
0.101858
0.155172
0.119817
0.080969
0.000000
0.098522
0.123153
0.147783
0.285714
0.197044
0.123153
0.024631
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.7679
-9.7953
2.8860
-10.8228
7.1772
7.8860
16.4368
189.555
95.948
8.329
117.133
51.512
62.189
270.168
30.4159
6.3104
0.2533
2.4828
1.0919
1.8910
12.6030
64.1838
41.1057
27.3673
71.3056
33.9147
19.0050
1.1662
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-38.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-38.mtw
* NOTE * Existing file replaced.
31
This is the solution if you used 59 for the -1 to zero observed frequency.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-39.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-39.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-39.mtw
MTB > exec '252chiks'
Executing from file: 252chiks.MTB
Executing from file: 252ksc.MTB
Executing from file: 252kso.MTB
Executing from file: 252ksc.MTB
Data Display
Row
O
O/n
FO
1
2
3
4
5
6
7
20
25
30
59
40
25
5
0.098039
0.122549
0.147059
0.289216
0.196078
0.122549
0.024510
0.09804
0.22059
0.36765
0.65686
0.85294
0.97549
1.00000
Data Display
n
204.000
Data Display
Row
O
E
f
FE
1
2
3
4
5
6
7
20
25
30
59
40
25
5
6.2628
15.2796
33.0480
47.4096
47.4096
33.0480
21.5424
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
Executing from file: 252ks.MTB
Data Display
Row
FO
FE
D
1
2
3
4
5
6
7
0.09804
0.22059
0.36765
0.65686
0.85294
0.97549
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.067339
0.114988
0.100047
0.156863
0.120541
0.081090
0.000000
Data Display
max D
0.156863
32
Data Display
Row
O
E
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
20
25
30
59
40
25
5
6.2628
15.2796
33.0480
47.4096
47.4096
33.0480
21.5424
-13.7372
-9.7204
3.0480
-11.5904
7.4096
8.0480
16.5424
188.711
94.486
9.290
134.337
54.902
64.770
273.651
30.1320
6.1838
0.2811
2.8335
1.1580
1.9599
12.7029
63.8692
40.9042
27.2331
73.4239
33.7484
18.9119
1.1605
Data Display
n
K12
K13
chisq2
chisq
K16
204.000
204.000
0
55.2513
55.2513
259.251
Data Display
Row
O
E
FO
FE
D
O/n
f
1
2
3
4
5
6
7
20
25
30
59
40
25
5
6.2628
15.2796
33.0480
47.4096
47.4096
33.0480
21.5424
0.09804
0.22059
0.36765
0.65686
0.85294
0.97549
1.00000
0.0307
0.1056
0.2676
0.5000
0.7324
0.8944
1.0000
0.067339
0.114988
0.100047
0.156863
0.120541
0.081090
0.000000
0.098039
0.122549
0.147059
0.289216
0.196078
0.122549
0.024510
0.0307
0.0749
0.1620
0.2324
0.2324
0.1620
0.1056
Row
E-O
sq
sq/E
O2/E
1
2
3
4
5
6
7
-13.7372
-9.7204
3.0480
-11.5904
7.4096
8.0480
16.5424
188.711
94.486
9.290
134.337
54.902
64.770
273.651
30.1320
6.1838
0.2811
2.8335
1.1580
1.9599
12.7029
63.8692
40.9042
27.2331
73.4239
33.7484
18.9119
1.1605
33
Take-home exam Problem 3 solutions
Guide: The ANOVA table you should have gotten is on the third page of the
solution. c41 is the rows and c42 is the columns. The data display below it is
the tableau that you should have generated except that the numbers in each row
should appear between c34 and c35.This tableau appears on page 12 of the exam
solution.
This is the solution if you used 25.0 in the lower right-hand corner.
————— 4/21/2003 10:30:54 PM ————————————————————
Welcome to Minitab, press F1 for help.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-00.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-00.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-00.mtw
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
72.00
Error
9
46.00
Total
11
118.00
Level
C1
C2
C3
N
4
4
4
MS
36.00
5.11
Mean
17.000
20.000
23.000
StDev
3.367
0.816
1.826
Pooled StDev =
2.261
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24
21
22
25
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576
441
484
625
F
7.04
P
0.014
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*------)
(-------*------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
68.0000
80.0000
92.0000
4.00000
4.00000
34
n3
smx1sq
smx2sq
smx3sq
Executing
4.00000
1190.00
1602.00
2126.00
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.0000
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4918.00
12.0000
240.000
4918.00
20.0000
1601.11
289.000
400.000
529.000
1218.00
4800.00
3.33333
72.0000
118.000
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24
21
22
25
59
62
61
58
19.6667
20.6667
20.3333
19.3333
1193
1282
1249
1194
386.778
427.111
413.444
373.778
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.000
35
Cell Contents -C40:Data
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.000
23.000
19.667
20.667
20.333
19.333
20.000
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
3.33
C42
2
72.00
Error
6
42.67
Total
11
118.00
MS
1.11
36.00
7.11
F
0.16
5.06
P
0.922
0.052
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24
21
22
25
92
4
23
2126
529
59
62
61
58
240
12
20
4918
1218
19.6667
20.6667
20.3333
19.3333
20.0000
1193
1282
1249
1194
4918
386.78
427.11
413.44
373.78
1601.11
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
3.333
72.000
42.667
118.000
3
2
6
11
1.1111
36.0000
7.1111
10.7273
0.15625
5.06250
1.00000
1.50852
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-00.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-00.mtw
* NOTE * Existing file replaced.
36
This is the solution if you used 25.1 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-01.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-01.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-01.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
72.60
Error
9
46.41
Total
11
119.01
Level
C1
C2
C3
N
4
4
4
MS
36.30
5.16
Mean
17.000
20.000
23.025
StDev
3.367
0.816
1.863
Pooled StDev =
2.271
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.1
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
630.01
F
7.04
P
0.014
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*------)
(-------*------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.1000
4.00000
4.00000
4.00000
1190.00
1602.00
2131.01
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.0250
37
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4923.01
12.0000
240.100
4923.01
20.0083
1602.40
289.000
400.000
530.151
1219.15
4804.00
3.20250
72.6017
119.009
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.1
59.0
62.0
61.0
58.1
19.6667
20.6667
20.3333
19.3667
1193.00
1282.00
1249.00
1199.01
386.778
427.111
413.444
375.068
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.100
Cell Contents -C40:Data
38
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.100
23.025
19.667
20.667
20.333
19.367
20.008
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
3.20
C42
2
72.60
Error
6
43.21
Total
11
119.01
MS
1.07
36.30
7.20
F
0.15
5.04
P
0.927
0.052
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.10
92.10
4.00
23.02
2131.01
530.15
59.00
62.00
61.00
58.10
240.10
12.00
20.01
4923.01
1219.15
19.6667
20.6667
20.3333
19.3667
20.0083
1193.00
1282.00
1249.00
1199.01
4923.01
386.78
427.11
413.44
375.07
1602.40
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
3.202
72.602
43.205
119.009
3
2
6
11
1.0675
36.3008
7.2008
10.8190
0.14825
5.04120
1.00000
1.50247
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-01.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-01.MTW
* NOTE * Existing file replaced.
39
This is the solution if you used 25.2 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-02.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-02.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-02.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
73.21
Error
9
46.83
Total
11
120.04
Level
C1
C2
C3
N
4
4
4
MS
36.60
5.20
Mean
17.000
20.000
23.050
StDev
3.367
0.816
1.900
Pooled StDev =
2.281
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.2
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
635.04
F
7.03
P
0.014
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(-------*------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.2000
4.00000
4.00000
4.00000
1190.00
1602.00
2136.04
from file: 252omean.MTB
Data Display
x1bar
17.0000
40
x2bar
x3bar
20.0000
23.0500
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4928.04
12.0000
240.200
4928.04
20.0167
1603.69
289.000
400.000
531.303
1220.30
4808.00
3.07667
73.2067
120.037
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.2
59.0
62.0
61.0
58.2
19.6667
20.6667
20.3333
19.4000
1193.00
1282.00
1249.00
1204.04
386.778
427.111
413.444
376.360
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.200
Cell Contents -C40:Data
41
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.200
23.050
19.667
20.667
20.333
19.400
20.017
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
3.08
C42
2
73.21
Error
6
43.75
Total
11
120.04
MS
1.03
36.60
7.29
F
0.14
5.02
P
0.932
0.052
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.20
92.20
4.00
23.05
2136.04
531.30
59.00
62.00
61.00
58.20
240.20
12.00
20.02
4928.04
1220.30
19.6667
20.6667
20.3333
19.4000
20.0167
1193.00
1282.00
1249.00
1204.04
4928.04
386.78
427.11
413.44
376.36
1603.69
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
3.077
73.207
43.753
120.037
3
2
6
11
1.0256
36.6033
7.2922
10.9124
0.14064
5.01950
1.00000
1.49645
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-02.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-02.MTW
* NOTE * Existing file replaced.
42
This is the solution if you used 25.3 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-03.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-03.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-03.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
73.81
Error
9
47.27
Total
11
121.08
Level
C1
C2
C3
N
4
4
4
MS
36.91
5.25
Mean
17.000
20.000
23.075
StDev
3.367
0.816
1.938
Pooled StDev =
2.292
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.3
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
640.09
F
7.03
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(------*------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.3000
4.00000
4.00000
4.00000
1190.00
1602.00
2141.09
from file: 252omean.MTB
Data Display
x1bar
17.0000
43
x2bar
x3bar
20.0000
23.0750
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4933.09
12.0000
240.300
4933.09
20.0250
1604.99
289.000
400.000
532.456
1221.46
4812.01
2.95583
73.8150
121.082
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.3
59.0
62.0
61.0
58.3
19.6667
20.6667
20.3333
19.4333
1193.00
1282.00
1249.00
1209.09
386.778
427.111
413.444
377.654
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.300
Cell Contents -C40:Data
44
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.300
23.075
19.667
20.667
20.333
19.433
20.025
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.96
C42
2
73.82
Error
6
44.31
Total
11
121.08
MS
0.99
36.91
7.39
F
0.13
5.00
P
0.937
0.053
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.30
92.30
4.00
23.07
2141.09
532.46
59.00
62.00
61.00
58.30
240.30
12.00
20.03
4933.09
1221.46
19.6667
20.6667
20.3333
19.4333
20.0250
1193.00
1282.00
1249.00
1209.09
4933.09
386.78
427.11
413.44
377.65
1604.99
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.956
73.815
44.312
121.082
3
2
6
11
0.9853
36.9075
7.3853
11.0075
0.13341
4.99744
1.00000
1.49047
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-03.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-03.MTW
* NOTE * Existing file replaced.
45
This is the solution if you used 25.4 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-04.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-04.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-04.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
74.43
Error
9
47.72
Total
11
122.15
Level
C1
C2
C3
N
4
4
4
MS
37.21
5.30
Mean
17.000
20.000
23.100
StDev
3.367
0.816
1.977
Pooled StDev =
2.303
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.4
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
645.16
F
7.02
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(------*------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.4000
4.00000
4.00000
4.00000
1190.00
1602.00
2146.16
from file: 252omean.MTB
Data Display
x1bar
x2bar
17.0000
20.0000
46
x3bar
23.1000
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4938.16
12.0000
240.400
4938.16
20.0333
1606.28
289.000
400.000
533.610
1222.61
4816.01
2.84000
74.4267
122.147
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.4
59.0
62.0
61.0
58.4
19.6667
20.6667
20.3333
19.4667
1193.00
1282.00
1249.00
1214.16
386.778
427.111
413.444
378.951
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.400
Cell Contents -C40:Data
47
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.400
23.100
19.667
20.667
20.333
19.467
20.033
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.84
C42
2
74.43
Error
6
44.88
Total
11
122.15
MS
0.95
37.21
7.48
F
0.13
4.98
P
0.941
0.053
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.40
92.40
4.00
23.10
2146.16
533.61
59.00
62.00
61.00
58.40
240.40
12.00
20.03
4938.16
1222.61
19.6667
20.6667
20.3333
19.4667
20.0333
1193.00
1282.00
1249.00
1214.16
4938.16
386.78
427.11
413.44
378.95
1606.28
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.840
74.427
44.880
122.147
3
2
6
11
0.9467
37.2133
7.4800
11.1042
0.12656
4.97504
1.00000
1.48452
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-04.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-04.MTW
* NOTE * Existing file replaced.
48
This is the solution if you used 25.5 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-05.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-05.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-05.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
75.66
Error
9
48.67
Total
11
124.33
Level
C1
C2
C3
N
4
4
4
MS
37.83
5.41
Mean
17.000
20.000
23.150
StDev
3.367
0.816
2.055
Pooled StDev =
2.325
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.6
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
655.36
F
7.00
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(------*-------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.6000
4.00000
4.00000
4.00000
1190.00
1602.00
2156.36
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.1500
49
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4948.36
12.0000
240.600
4948.36
20.0500
1608.88
289.000
400.000
535.922
1224.92
4824.03
2.62333
75.6600
124.330
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.6
59.0
62.0
61.0
58.6
19.6667
20.6667
20.3333
19.5333
1193.00
1282.00
1249.00
1224.36
386.778
427.111
413.444
381.551
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.600
Cell Contents -C40:Data
Tabulated Statistics: C41, C42
Rows: C41
1
2
Columns: C42
1
2
3
All
16.000
21.000
19.000
20.000
24.000
21.000
19.667
20.667
50
3
4
All
18.000
13.000
17.000
21.000
20.000
20.000
22.000
25.600
23.150
20.333
19.533
20.050
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.62
C42
2
75.66
Error
6
46.05
Total
11
124.33
MS
0.87
37.83
7.67
F
0.11
4.93
P
0.949
0.054
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.60
92.60
4.00
23.15
2156.36
535.92
59.00
62.00
61.00
58.60
240.60
12.00
20.05
4948.36
1224.92
19.6667
20.6667
20.3333
19.5333
20.0500
1193.00
1282.00
1249.00
1224.36
4948.36
386.78
427.11
413.44
381.55
1608.88
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.623
75.660
46.047
124.330
3
2
6
11
0.8744
37.8300
7.6744
11.3027
0.11394
4.92935
1.00000
1.47277
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-05.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-05.MTW
* NOTE * Existing file replaced.
51
This is the solution if you used 25.6 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-06.mtw".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-06.mtw
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-06.mtw
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
75.66
Error
9
48.67
Total
11
124.33
Level
C1
C2
C3
N
4
4
4
MS
37.83
5.41
Mean
17.000
20.000
23.150
StDev
3.367
0.816
2.055
Pooled StDev =
2.325
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.6
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
655.36
F
7.00
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(------*-------)
---------+---------+---------+------17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.6000
4.00000
4.00000
4.00000
1190.00
1602.00
2156.36
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.1500
52
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4948.36
12.0000
240.600
4948.36
20.0500
1608.88
289.000
400.000
535.922
1224.92
4824.03
2.62333
75.6600
124.330
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.6
59.0
62.0
61.0
58.6
19.6667
20.6667
20.3333
19.5333
1193.00
1282.00
1249.00
1224.36
386.778
427.111
413.444
381.551
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.600
Cell Contents -C40:Data
Tabulated Statistics: C41, C42
Rows: C41
Columns: C42
1
2
3
All
53
1
2
3
4
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.600
23.150
19.667
20.667
20.333
19.533
20.050
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.62
C42
2
75.66
Error
6
46.05
Total
11
124.33
MS
0.87
37.83
7.67
F
0.11
4.93
P
0.949
0.054
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.60
92.60
4.00
23.15
2156.36
535.92
59.00
62.00
61.00
58.60
240.60
12.00
20.05
4948.36
1224.92
19.6667
20.6667
20.3333
19.5333
20.0500
1193.00
1282.00
1249.00
1224.36
4948.36
386.78
427.11
413.44
381.55
1608.88
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.623
75.660
46.047
124.330
3
2
6
11
0.8744
37.8300
7.6744
11.3027
0.11394
4.92935
1.00000
1.47277
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-06.mtw";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-06.mtw
* NOTE * Existing file replaced.
54
This is the solution if you used 25.7 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-07.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-07.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-07.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
76.28
Error
9
49.17
Total
11
125.45
Level
C1
C2
C3
N
4
4
4
MS
38.14
5.46
Mean
17.000
20.000
23.175
StDev
3.367
0.816
2.095
Pooled StDev =
2.337
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.7
Data Display
w
x1sq
1
2
3
4
x2sq
256
441
324
169
361
400
441
400
F
6.98
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
---------+---------+---------+------(-------*------)
(------*-------)
(------*-------)
---------+---------+---------+------17.5
21.0
24.5
x3sq
576.00
441.00
484.00
660.49
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.7000
4.00000
4.00000
4.00000
1190.00
1602.00
2161.49
from file: 252omean.MTB
Data Display
x1bar
x2bar
17.0000
20.0000
55
x3bar
23.1750
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4953.49
12.0000
240.700
4953.49
20.0583
1610.19
289.000
400.000
537.081
1226.08
4828.04
2.52250
76.2817
125.449
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.7
59.0
62.0
61.0
58.7
19.6667
20.6667
20.3333
19.5667
1193.00
1282.00
1249.00
1229.49
386.778
427.111
413.444
382.854
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.700
Cell Contents -C40:Data
Tabulated Statistics: C41, C42
Rows: C41
1
1
2
3
4
16.000
21.000
18.000
13.000
Columns: C42
2
19.000
20.000
21.000
20.000
3
24.000
21.000
22.000
25.700
All
19.667
20.667
20.333
19.567
56
All
17.000
20.000
23.175
20.058
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.52
C42
2
76.28
Error
6
46.65
Total
11
125.45
MS
0.84
38.14
7.77
F
0.11
4.91
P
0.952
0.055
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.70
92.70
4.00
23.18
2161.49
537.08
59.00
62.00
61.00
58.70
240.70
12.00
20.06
4953.49
1226.08
19.6667
20.6667
20.3333
19.5667
20.0583
1193.00
1282.00
1249.00
1229.49
4953.49
386.78
427.11
413.44
382.85
1610.19
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.523
76.282
46.645
125.449
3
2
6
11
0.8408
38.1408
7.7742
11.4045
0.10816
4.90610
1.00000
1.46697
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-07.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-07.MTW
* NOTE * Existing file replaced.
57
This is the solution if you used 25.8 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-08.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-08.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-08.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
76.91
Error
9
49.68
Total
11
126.59
Level
C1
C2
C3
N
4
4
4
Mean
17.000
20.000
23.200
MS
38.45
5.52
StDev
3.367
0.816
2.135
Pooled StDev =
2.349
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.8
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
665.64
F
6.97
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
----------+---------+---------+-----(-------*------)
(------*-------)
(------*-------)
----------+---------+---------+-----17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.8000
4.00000
4.00000
4.00000
1190.00
1602.00
2166.64
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.2000
Data Display
58
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4958.64
12.0000
240.800
4958.64
20.0667
1611.49
289.000
400.000
538.240
1227.24
4832.05
2.42667
76.9067
126.587
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.8
59.0
62.0
61.0
58.8
19.6667
20.6667
20.3333
19.6000
1193.00
1282.00
1249.00
1234.64
386.778
427.111
413.444
384.160
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.800
Cell Contents -C40:Data
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.800
23.200
19.667
20.667
20.333
19.600
20.067
59
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.43
C42
2
76.91
Error
6
47.25
Total
11
126.59
MS
0.81
38.45
7.88
F
0.10
4.88
P
0.955
0.055
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.80
92.80
4.00
23.20
2166.64
538.24
59.00
62.00
61.00
58.80
240.80
12.00
20.07
4958.64
1227.24
19.6667
20.6667
20.3333
19.6000
20.0667
1193.00
1282.00
1249.00
1234.64
4958.64
386.78
427.11
413.44
384.16
1611.49
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.427
76.907
47.253
126.587
3
2
6
11
0.8089
38.4533
7.8756
11.5079
0.10271
4.88262
1.00000
1.46121
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-08.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-08.MTW
* NOTE * Existing file replaced.
60
This is the solution if you used 25.9 in the lower right-hand corner.
MTB > Retrieve "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-09.MTW".
Retrieving worksheet from file: C:\Documents and Settings\RBOVE\My
Documents\Drive D\MINITAB\2x0331-09.MTW
# Worksheet was saved on Mon Apr 21 2003
Results for: 2x0331-09.MTW
MTB > exec '2522way1'
Executing from file: 2522way1.MTB
Executing from file: 252onew.MTB
One-way ANOVA: C1, C2, C3
Analysis of Variance
Source
DF
SS
Factor
2
77.54
Error
9
50.21
Total
11
127.74
Level
C1
C2
C3
N
4
4
4
Mean
17.000
20.000
23.225
MS
38.77
5.58
StDev
3.367
0.816
2.176
Pooled StDev =
2.362
Executing from file: 252onmer.MTB
Executing from file: 252osmer.MTB
Data Display
Row
C1
C2
C3
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.9
Data Display
Row
x1sq
x2sq
x3sq
1
2
3
4
256
441
324
169
361
400
441
400
576.00
441.00
484.00
670.81
F
6.95
P
0.015
Individual 95% CIs For Mean
Based on Pooled StDev
----------+---------+---------+-----(-------*------)
(------*-------)
(------*-------)
----------+---------+---------+-----17.5
21.0
24.5
Data Display
sumx1
sumx2
sumx3
n1
n2
n3
smx1sq
smx2sq
smx3sq
Executing
68.0000
80.0000
92.9000
4.00000
4.00000
4.00000
1190.00
1602.00
2171.81
from file: 252omean.MTB
Data Display
x1bar
x2bar
x3bar
17.0000
20.0000
23.2250
61
Data Display
smxsq
n
sumx
srss
gdmn
srmsq
x1bsq
x2bsq
x3bsq
sxbsq
K26
SSR
SSC
SST
4963.81
12.0000
240.900
4963.81
20.0750
1612.80
289.000
400.000
539.401
1228.40
4836.07
2.33583
77.5350
127.743
Data Display
Row
C1
C2
C3
rsum
rmn
rss
rmnsq
1
2
3
4
16
21
18
13
19
20
21
20
24.0
21.0
22.0
25.9
59.0
62.0
61.0
58.9
19.6667
20.6667
20.3333
19.6333
1193.00
1282.00
1249.00
1239.81
386.778
427.111
413.444
385.468
Executing
Executing
Executing
Executing
from
from
from
from
file:
file:
file:
file:
2522wr1.MTB
2522wr1.MTB
2522wr1.MTB
252-2W1O.MTB
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
1
1
1
1
4
1
1
1
1
4
1
1
1
1
4
3
3
3
3
12
Cell Contents -Count
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
Columns: C42
1
2
3
16.000
21.000
18.000
13.000
19.000
20.000
21.000
20.000
24.000
21.000
22.000
25.900
Cell Contents -C40:Data
62
Tabulated Statistics: C41, C42
Rows: C41
1
2
3
4
All
Columns: C42
1
2
3
All
16.000
21.000
18.000
13.000
17.000
19.000
20.000
21.000
20.000
20.000
24.000
21.000
22.000
25.900
23.225
19.667
20.667
20.333
19.633
20.075
Cell Contents -C40:Mean
Two-way ANOVA: C40 versus C41, C42
Analysis of Variance for C40
Source
DF
SS
C41
3
2.34
C42
2
77.54
Error
6
47.87
Total
11
127.74
MS
0.78
38.77
7.98
F
0.10
4.86
P
0.959
0.056
Executing from file: 252-2wfo.MTB
Data Display
Row
C31
C32
C33
C34
C35
C36
C37
1
2
3
4
5
6
7
8
9
16
21
18
13
68
4
17
1190
289
19
20
21
20
80
4
20
1602
400
24.00
21.00
22.00
25.90
92.90
4.00
23.23
2171.81
539.40
59.00
62.00
61.00
58.90
240.90
12.00
20.07
4963.81
1228.40
19.6667
20.6667
20.3333
19.6333
20.0750
1193.00
1282.00
1249.00
1239.81
4963.81
386.78
427.11
413.44
385.47
1612.80
Data Display
Row
SS.
DF.
MS.
F.
1
2
3
4
2.336
77.535
47.872
127.743
3
2
6
11
0.7786
38.7675
7.9786
11.6130
0.09759
4.85893
1.00000
1.45551
MTB > Save "C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-09.MTW";
SUBC>
Replace.
Saving file as: C:\Documents and Settings\RBOVE\My Documents\Drive
D\MINITAB\2x0331-09.MTW
* NOTE * Existing file replaced.
MTB >
63