Question 12.61

1. Construct a chart for the data. Does the process appear to be in control?
2. Recognizing that the player needed insight into his free-throw shooting problems, the coach hired an outside consultant to work with the player. The consultant noticed a subtle flaw in the player's technique. Namely, the player was bending back his wrist only 85 degrees when, ideally, the wrist needs to be bent back 90 degrees for proper flick motion. Part of the problem was due to the player's stiff wrist. Over the course of the next week or so, the player was given techniques to loosen his wrist. After implementing a modification to wrist movement, he got the following results on 10 new samples (again out of 50 attempts):

   641

   34

   38

   35

   43

   31

   35

   32

   36

   28

   39

   Plot the new sample proportions along with the control limits determined in part (a). What are your conclusions? What should be the values of the control limits for future samples?