There are two SPSS exercises for this second module. First one is an Independent
ID: 3294323 • Letter: T
Question
There are two SPSS exercises for this second module. First one is an Independent Samples t-test. Run the following analysis on the data Analyze Compare Means-Independent Samples t-test. The second one is a One way ANOVA. Run the following analysis on the data: Analyze-Compare Means-One way ANOVA. Submit your interpretation of the outputs to the drop box in a word document. You can copy and paste some of the SPSS output information into the word document as long as you can explain in words what you findExplanation / Answer
Part 1
The required SPSS output for independent sample t test is given as below:
T-Test
Group Statistics
Test group
N
Mean
Std. Deviation
Std. Error Mean
Achievement scores
1.00
20
46.2500
2.48945
.55666
2.00
20
42.9000
4.10263
.91738
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference
Lower
Upper
Achievement scores
Equal variances assumed
4.494
.041
3.122
38
.003
3.35000
1.07306
1.17771
5.52229
Equal variances not assumed
3.122
31.321
.004
3.35000
1.07306
1.16240
5.53760
For this test we get the p-value as 0.003 which is less than the level of significance or alpha value 0.05 or 5%, so we reject the null hypothesis that there is no any statistically significant difference in the average achievement scores for the given two groups. There is sufficient evidence to conclude that there is a statistically significant difference in the average achievement scores for the given two test groups.
Part 2
The required SPSS output for the one way ANOVA is given as below:
One way ANOVA
Descriptive statistics
Obs.
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Minimum
Maximum
Lower Bound
Upper Bound
1.00
10
8.6000
1.17379
.37118
7.7603
9.4397
6.00
10.00
2.00
11
8.6364
.80904
.24393
8.0928
9.1799
7.00
10.00
3.00
17
4.2941
.91956
.22303
3.8213
4.7669
2.00
6.00
Total
38
6.6842
2.37220
.38482
5.9045
7.4639
2.00
10.00
ANOVA
Obs.
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
175.736
2
87.868
94.700
.000
Within Groups
32.475
35
.928
Total
208.211
37
For this ANOVA test, we get the p-value as 0.00 which is less than the level of significance or alpha value 0.05, so we reject the null hypothesis that there is no any statistically significant difference in the average values of the given three groups. This means we conclude that there is sufficient evidence that there is a statistically significant difference exists in the average values of the given three groups.
Group Statistics
Test group
N
Mean
Std. Deviation
Std. Error Mean
Achievement scores
1.00
20
46.2500
2.48945
.55666
2.00
20
42.9000
4.10263
.91738