PAIRED SAMPLES T TEST A Corporation Psychologist believes that exercise affects self-image. To investigate this probability, 14 employees of the corporation are randomly selected to participate in a jogging program. Before beginning the program, they are given a questionnaire that measures self-image. Then they begin the jogging program. They jogged 4 days a week for 20 minutes. Each employee’s self-image is measured again after two months on the program. The results are as follows: the higher the score, the higher the self-image.
Subject Before Jogging Self-Image After Jogging Self-Image
1
14
20
2
13
16
3
8
15
4
14
12
5
12
15
6
7
13
7
10
12
8
16
13
9
10
16
10
14
18
11
6
14
12
15
17
13
12
18
14
9
15
Please state your null hypothesis and alternative hypothesis, both as an equation and in your own words. After you run the data through SPSS, please write up the results.
The SPSS output is:
The hypothesis being tested is:
H0: µd = 0
Ha: µd ≠ 0
The test statistic is -4.402.
The p-value is 0.001.
Since the p-value (0.001) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that exercise affects self-image.
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