Digital Assignment-2
April 16, 2024
Answer all the questions:1. Two independent samples of sizes 9 and 8 gave the sum of squares of deviations
from their respective means as 160 and 91 respectively. Can the samples be
regarded as drawn from the normal populations with equal variance? Given
F0.05 (8, 7) = 3.73; F0.05 (7, 8) = 3.50.
2. The following data gives the number of aircraft accidents that occur during the
various days of a week. Find whether
the accidents are uniformly distributed
2
over the week. χ6,0.05 = 12.59 .
Days
No. of accidents
sun
14
Mon
16
Tue
8
Wed
12
Thu
11
Fri
9
Sat
14
3. The following data represent the number of units of production per day turned
out by different workers using 4 different types of machines
1
Workers 2
3
4
5
Machine Type
A
B
C
44
38
47
46
40
52
34
36
44
43
38
46
38
42
49
D
36
43
32
33
39
(a) Test whether the five men differ with respect to mean productively and
(b) Test whether the mean productively is the same for the four different
machine types. F0.05 (4, 12) = 3.26; F0.05 (3, 12) = 3.49.
1