Researchers are interested in comparing the depression scores(measured on a scale of 1-100) of patients diagnosed with clinicaldepression before and after they have participated in a newexercise regimen. They take a random sample of 5 people who reportlow levels of exercise and measure their depression scores. Theythen have these 5 patients complete a 4-week exercise regimen andmeasure their depression scores after the 4 weeks. Results ofanalysis are presented in the table below.

Participant ID	Depression score before the 4-week exercise regimen	Depression score before the 4-week depression exerciseregimen
A	78	69
B	87	82
C	57	56
D	62	63
E	74	72

Your research question of interest is:

Is there a difference in the mean depressionscore of patients before and after they participate in the 4- weekexercise regimen?

You are informed the estimated standard error of themean differences (s) is 1.74

You will use the information above to complete the questionparts below for a two related samples t-test.

Part A: Which of the following represents theappropriate null hypothesis(H₀),given this research question of interest?

Part B: Which of the following represents theappropriate alternative hypothesis(H₁), given this research question ofinterest?

Part C: Which of the following represents theappropriate critical value(s), testing at analpha level (α) of 0.05?

Part D: What is thet-statistic associated with your test?(rounded to the nearest hundredth) - see note above forthe value of the standard error of the mean differences.

Part E: Given your test results, what is yourdecision about the null hypothesis?

Part F: The best interpretation of theappropriate decision regarding the null hypothesis would be: \"Basedon our study, we (Have/Have not)

enough evidence to conclude that there appears to be adifference in the population mean depression score before and aftera 4 week exercise regimen.\"