A professional basketball player has embarked on a program to study his ability to shoot foul shots. On each day in which a game is not scheduled, he intends to shoot 100 foul shots. He maintains records over a period of 40 days of practice, with the results stored on the worksheet.
a) Construct a p chart for the proportion of successful foul shots. Do you think that the player's foul shooting process is in statistical control? why or why not?
b) What if you were told that the player used a different method of shooting foul shots for the last 20 days? How might this information change your conclusion in a?
c) If you knew the information in b prior to doing a, how might you do the analysis differently?
| Foul Shots Made |
Number Taken |
| 73 |
100 |
| 75 |
100 |
| 69 |
100 |
| 72 |
100 |
| 77 |
100 |
| 71 |
100 |
| 68 |
100 |
| 70 |
100 |
| 67 |
100 |
| 74 |
100 |
| 75 |
100 |
| 72 |
100 |
| 70 |
100 |
| 74 |
100 |
| 73 |
100 |
| 76 |
100 |
| 69 |
100 |
| 68 |
100 |
| 72 |
100 |
| 70 |
100 |
| 64 |
100 |
| 67 |
100 |
| 72 |
100 |
| 70 |
100 |
| 74 |
100 |
| 76 |
100 |
| 75 |
100 |
| 78 |
100 |
| 76 |
100 |
| 80 |
100 |
| 78 |
100 |
| 83 |
100 |
| 84 |
100 |
| 81 |
100 |
| 86 |
100 |
| 85 |
100 |
| 86 |
100 |
| 87 |
100 |
| 85 |
100 |
| 85 |
100 |