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# The solution to Test of mean

1. A sample of 45 overweight men participated in an exercise program. At the conclusion of the program 32 had lost weight. At the .05 significance level, can we conclude the program is effective?
a. State the null hypothesis and the alternate hypothesis.
b. State the decision rule.
c. Compute the value of the test statistic.
d. What is your decision regarding the null hypothesis?

2. Tucson State University offers two MBA programs. In the first program the students meet two nights per week at the University's main campus in downtown Tucson. In the second program students only communicated on-line with the instructor. The director of the MBA experience at Tucson wishes to compare the number of hours studied last week by the two groups of students. A sample of 10 on-campus students and 12 on-line students revealed the following information.

Campus 28, 16, 42, 29, 31, 22, 50, 42, 23, 25
Online 26, 42, 65, 38, 29, 32, 59, 42, 27, 41, 46, 18

Do not assume the two distributions of study times, which are reported in hours, follow a normal distribution. At the .05 significance level, can we conclude the on-line students study more?

#### Solution Summary

To test if online students study more and if the exercise program is effective.

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