Question: Students in a statistics class at Penn State were asked, "About how many minutes do you typically exercise in a week?" Responses from the women in the class were as follows:
60, 240, 0, 360, 450, 200, 100, 70, 240, 0, 60, 360, 180, 300, 0, 270
Responses from the men in the class were as follows:
180, 300, 60, 480, 0, 90, 300, 14, 600, 360, 120, 0, 240
a. Draw appropriate graphs to check whether the conditions for conducting a two-sample t-test are met. Discuss the results of your graphs.
b. What additional assumption or condition is required if conclusions are to be made about amount of exercise for the population of all Penn State students on the basis of these sample results?
c. Assume that the conditions are met, and conduct a test to determine whether the mean amount of exercise differs for men and women. Specify the value of a that you chose to use.