Question #1 - Fast Food Fitness (10 marks)

Eat Healthy Burgers, a nationwide fast food restaurant, wants to determine the effectiveness of a franchise-based health promotion program that they recently developed. The employee's average body mass index (BMI) was measured at sixteen (16) different locations that received the program, while a different sixteen (16) franchise locations were used as a control group and did not receive the program. The data that summarizes the BMI values for each group is found in the Assignment #4 Excel file.

Test the hypothesis at the .05 level that there was no difference in the BMI results between the treatment group and the control group. Population standard deviations are unknown but assumed to be equal.

1. State the Null hypothesis (Ho) in both words and in numerical form. (1 mark)
2. State the Alternative Hypothesis (Ha) in both words and in numerical form. (1 mark)
3. What kind of test you will use to test the hypothesis? (Z or T, 1 tail or 2 tail) (2 marks)
4. Calculate the appropriate test statistic using Excel. (4 marks)
5. What is your conclusion based on the statistical results? State the conclusion using "hypothesis" language as well as in the context of the problem, (if you are the owner of Eat Healthy Burgers who developed the health program in the first place)

Franchise Location #	Health Program treatment group (BMI Avg)	Non-Program Control group (BMI Avg)
1	26.02	26.06
2	24.57	26.53
3	25.87	26.4
4	25.18	26.37
5	25.02	25.53
6	26.84	26.22
7	25.46	26.28
8	26.31	26.42
9	25.7	25.39
10	26.22	25.57
11	26.1	25.69
12	25.61	24.94
13	26.24	26.12
14	26.42	25.95
15	26.57	26.24
16	25.16	26.47