In: Statistics and Probability
1. A community psychologist selects a sample of 16 local police officers to test whether their physical endurance is better than the median score of 72. She measures their physical endurance on a 100-point physical endurance rating scale.
| Performance Scores | |||
|---|---|---|---|
| 56 | 83 | 91 | 57 |
| 86 | 84 | 70 | 82 |
| 80 | 95 | 73 | 78 |
| 51 | 90 | 77 | 75 |
Based on the data given above, compute the one-sample sign test
at a 0.05 level of significance.
x =
2. A professor has a teaching assistant record the amount of time (in minutes) that a sample of 16 students engaged in an active discussion. The assistant observed 8 students in a class who used a slide show presentation and 8 students in a class who did not use a slide show presentation.
|
With Microsoft PowerPoint |
Without Microsoft PowerPoint |
|---|---|
| 21 | 5 |
| 23 | 7 |
| 9 | 6 |
| 14 | 10 |
| 15 | 4 |
| 8 | 13 |
| 11 | 19 |
| 18 | 12 |
Use the normal approximation for the Mann-Whitney U
test to analyze the data above. (Round your answer to two decimal
places.)
z =