7.138 A comparison of female high school students. A study was performed to determine the prevalence of the female athlete triad (low energy availability, menstrual dysfunction, and low bone mineral density) in high school students.51 A total of 80 high school athletes and 80 sedentary students were assessed. The following table summarizes several measured characteristics:
| Athletes | Sedentary | |||
|---|---|---|---|---|
| Characteristic | s | s | ||
| Body fat (%) | 25.61 | 5.54 | 32.51 | 8.05 |
| Body mass index | 21.60 | 2.46 | 26.41 | 2.73 |
| Calcium deficit (mg) | 297.13 | 516.63 | 580.54 | 372.77 |
| Glasses of milk/day | 2.21 | 1.46 | 1.82 | 1.24 |
(a) For each of the characteristics, test the hypothesis that the means are the same in the two groups. Use a significance level of 0.05 for each test.
(b) Write a short report summarizing your results.