Most college campuses have recreational facilities where students can work out, including cardio, weight training, exercise classes, competition areas (basketball, racquetball, etc), swimming, and other activities. Such facilities are usually funded by student fees, and some students choose to use the facilities more than others. For the purposes of this project, for all female students and for all male students who use the facilities, we want to determine the difference in the mean amount of time that all female students use the recreational facilities per day and the mean amount of time that all male students use the recreational facilities per day.

1.In the paragraph above there are two populations. What are those two populations?

2.What type of variable is the amount of time that students use the recreational facilities per day?

A.Qualitative variable (B) Discrete quantitative variable (C) Continuous quantitative variable

At a particular college, a simple random sample of 32 female students was selected, and the amount of time each spends per day at the recreational facilities is recorded. An independent simple random sample of 28 male students was selected, and the amount of time each spends per day at the recreational facilities is recorded. The data is below.

Female students:

48524436534532442545546453374542

34575962354741335560486643385156

Male students:

5565714153513061795567647281

4045665862766346503657477289

Descriptive Statistics:

3.For the female students' data, construct a stem-and-leaf plot, histogram or boxplot to graphically display this data.

4.For the female students' data, calculate the mean, median, range, standard deviation and interquartile range for this data.

5.Describe completely the distribution of this female students' data.

6.For the male students' data, construct a stem-and-leaf plot, histogram or boxplot to graphically display this data.

7.For the male students' data, calculate the mean, median, range, standard deviation and interquartile range for this data.

8.Describe completely the distribution of this male students' data.

Inferential Statistics:

9.Of interest is to test to see if the difference in the mean amount of time that all female students use the recreational facilities per day and the mean amount of time that all male students use the recreational facilities per day is equal to 0, versus the alternative that the mean amount of time that all female students use the recreational facilities per day is less than the mean amount of time that all male students use the recreational facilities per day. Write the two hypotheses in statistical notation.

10.Discuss the assumptions required to test the hypotheses in question 9, and whether they are satisfied in this case.

11.Use the data presented above to test the hypotheses at significance level = .01. Complete the hypotheses even if the assumptions are violated.

12.Use the data presented above to calculate and interpret a 99% confidence interval for the difference in the mean amount of time that all female students use the recreational facilities per day and the mean amount of time that all male students use the recreational facilities per day.