Question

An investigator theorizes that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do not participate in a regular program of exercise. To test this idea the investigator randomly assigns 21 subjects to an exercise program for 10 weeks. After ten weeks the mean systolic blood pressure of subjects in the exercise group is 137 ( = 10). The mean systolic blood pressure of the 15 subjects in the non-exercise group is 127 ( = 8). Please test the investigator's theory using an alpha level of .05.

What is the research hypothesis for this problem?

Figure the pooled estimate of the population variance:

Figure the variance of each distribution of means:

Figure the variance of the distribution of differences between means:

Figure the standard deviation of the distribution of differences between means:

The cutoff score(s) is/are:

Determine your sample’s score on the comparison distribution (t = ___):

Decide whether to reject or retain the null hypothesis:

Answer 1

We wish to test ,

1).

H0: Average systolic blood pressure of people who participated in exercise program and people don't participated in exercise program is same

H1: Average systolic blood pressure of people who participated in exercise program and people don't participated in exercise program is significantly different.

2).

3).

4).

​​​​​​

5). 6).

cut off score

7).

Test statistics

8).

Since we can observe that  

therefore we reject H​​​​​​0 at 5% level of significance

Conclusion :

Based on given data We reject H0 i.e. Average systolic blood pressure of people participated in exercise program and who don't participated in exercise program is significantly different at 5% level of Significance