Assignment 4, Fall 2000

STATISTICS 403 - Assignment 4

Due Tuesday, October 3, 2000

Data is collected on the amount of time spent by students at the ISU Recreation Facility. Thirty students, 15 males and 15 females are observed. The elapsed time (minutes) spent during one visit to the area that has the aerobic fitness devices, weight machines and free weights is recorded for each student.
```
             Males                 Females  
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| 52   75   74   68   93  ||  63   32   86   53   49 |
| 77   41   87   72   53  ||  73   39   56   45   67 |
| 84   65   66   69   62  ||  49   51   65   54   56 |
 ----------------------------------------------------
```
- (a) Below are side by side box plots of the time spent at the ISU Recreation Facility by Males and Females.
  
  Referring to the box plots in, compare the two groups; Males and Females, in terms of time spent at the ISU Recreation Facility.
- (b) Use Mood's median test to test for a difference between males and females in terms of the time they spend at the ISU Recreation Facility.
- (c) Use Tukey's quick test to test for a difference between males and females in terms of the time they spend at the ISU Recreation Facility.
- (d) The value 86 for a female time is a misrecording of the actual value of 36. Change this value and repeat parts (b) and (c).
- (e) Observational studies, like this one, do not lend themselves to determining cause and effect. Even if males do differ from females in the amount of the time they spend at the ISU Recreation Facility, this does not mean that sex, male/female, is the cause of that difference. Can you think of other factors that could affect the time spent at the Recreational Facility?