Assignment
Instruction

This assignment consists of two sections, each worth 5 marks, for a total of 10 marks.

Use this document to provide answers to the following questions.

Please ensure that you save the output/results after completing each task. Once saved,
upload the corresponding SPSS files and outputs to the Learning Management System
(LMS).
Section A
o A study was conducted in the UAE to evaluate the health score among 456 participants
and determine if there is a significant difference in the mean health score between the
study groups based on gender and marital status
o Using the attached SPSS File "2. Quality of life Score among teachers"
A. Select the appropriate analysis method and justify it.
(1 marks)
B. Find the mean, SD, 95% CI and Sign value for Education and Income (as given in Table
1)
(2 marks)
C. Calculate and interpret the significance of the mean quality of life score between
Education and Income, respectively
(2 marks)
Answer 1:
A. Type of test used: T - Test
Justification :it is a T Test because it has 2 independent variable and 1 dependent variable
used
B. Table 1: The mean, standard deviation, and 95% CI results on quality of life scores
among education and income groups are explained in the table below.
Variable
Mean
SD
1. 33.85
1. 5.26
2. 35.31
2. 5.26
<5000 dollars
1. 34.62
5.5
2. Income
2. 34.20
4.8
95% CI
Sig (2-tailed)
Variable
1. Educated
2. Noneducated
0.003
Quality of life
score
1. Income
0.424
>5000 dollars
n = 456; The mean difference is significant at the .05 level
C. Result interpretation: (Explain)
For the education level , the sig 0.879 which is large than 0.05 that means that our interpretation is right so we can
move to next sig
The second section of the table P=value is 0.003
p=value is less than 0.05 , that’s mean our result is statistically significant
For the income , the sig 0.079 which is large than 0.05 that means that our interpretation is right so we can move to
next sig
The second section of the table P=value is 0.424
p=value is more than 0.05 , that’s mean our result is statistically insignificant
Section B
Abstract:
A study was conducted among three faculties: science, education, and arts. The purpose of the
study was to examine whether there is a statistically significant difference in achievement
scores and job satisfaction between these faculties. Kindly use the data attached in the SPSS
file labeled "3. Achievement among participants based on different Program"
Question 1:
A. Identify the appropriate analysis method to compare the significant difference in mean
achievement scores among the three faculties and justify.
B. Create a research question OR null hypothesis.
(1 mark)
(1 mark)
C. Perform ALL STEPS of analysis and interpret the results.? (3 marks)
Answers 1:
A. Appropriate analysis method: one way A NOVA TEST
Because it is used to compare the mean of more than two groups or levels of an independent
variables
B. Research Question or Hypothesis (Decide):
Is there a statistically significant difference in the extent of achievement among participants
based different programs?
C.
test steps:
1. Population normality: (Explain)
1.
2.
3.
4.
5.
6.
Select the Analyze menu
Click on Descriptive and Frequency
Select approval
Select statistic (mean, median, mode)
Select chart histogram and show normal curve on histogram
Click continue, then ok
Statistics
Achievemen
Name of
t
Faculty
N
Valid
456
456
Missing
0
0
Mean
31.8772
2.0373
Median
32.0000
2.0000
a
Mode
31.00
2.00
a. Multiple modes exist. The smallest value is
shown
Homogeneity of variance: (Explain)
2.
Tests of Homogeneity of Variances
Achieveme
nt
Based on Mean
Based on Median
Based on Median and
with adjusted df
Based on trimmed mean
Levene
Statistic
.689
.628
.628
.667
df1
2
2
2
df2
453
453
451.718
Sig.
.503
.534
.534
2
453
.514
 To get the homogeneity of variance
we first go to analyze and go to compare mean and variation and then to one way a nova and
move achievement to dependent and faculty to factor and also select options and select
descriptive and homogeneity of variance
o levene statistic test shows non significant result (p>.05) it indicate all groups are
approximately equal.
Table1: Test of Homogeneity of Variances
Achievement
Tests of Homogeneity of Variances
Levene
Statistic
.689
.628
.628
Achievement Based on Mean
Based on Median
Based on Median and
with adjusted df
Based on trimmed mean
.667
df1
2
2
2
df2
453
453
451.718
Sig.
.503
.534
.534
2
453
.514
o levene statistic test shows non significant result (p>.05) it indicate all groups are
approximately equal.
3.
Analysis of Variance Results: (Explain)
ANOVA
Achievement
Between
Groups
Within Groups
Total
Sum of
Squares
165.757
11189.366
11355.123
df
2
453
455
Mean
Square
82.878
F
3.355
Sig.
.036
24.701
p< .05 indicate rejection of null hypothesis
4. Post Hoc Analysis (Tukey HSD) (Explain)
Faculty of science and education faculty had significance value less than 0.05 and showed
significance while on the other hand all the other faculty had value significance more than
0.05
Multiple Comparisons
Dependent Variable: Achievement
Tukey HSD
(I) Name of
Faculty
1=Faculty of
Science
Mean
Difference (IJ)
1.43946*
(J) Name of
Std.
Faculty
Error
2=Education
.59191
Faculty
3=Faculty of Art
.53923 .67685
2=Education
1=Faculty of
-1.43946* .59191
Faculty
Science
3=Faculty of Art
-.90023 .56077
3=Faculty of Art 1=Faculty of
-.53923 .67685
Science
2=Education
.90023 .56077
Faculty
*. The mean difference is significant at the 0.05 level.
Sig.
.041
95% Confidence
Interval
Lower
Upper
Bound
Bound
.0476
2.8313
.705
.041
-1.0523
-2.8313
2.1308
-.0476
.244
.705
-2.2188
-2.1308
.4184
1.0523
.244
-.4184
2.2188