Mr. Mean Moment joined the Raggy Rollers' bowling team. His bowling scores during the first 5 days were as follows:
(a) Construct an X and an R chart showing control limits based on the results above.
(b) Do the data indicate any improvement during the 5 days?
(c) Is Mean Moment becoming a more consistent bowler') Is he an accurate bowler?
(d) Would you want him on your team if your team average were 125? 135?
M and M. as he is called by his partners, returns for the second week of bowling. He has received some advice from an expert on how he might improve his bowling game. His scores for the second week are as follows:
(e) Construct an X and an R chart showing control limits based on these new data (days 6 to 10).
(f) Plot the means and ranges of these new data on the charts constructed in part (a). Would you say that he is now a more accurate bowler? Is he more consistent?
(g) Construct an S/. and an R chart showing control limits based on all the data (days l to 10). Should the control limits constructed in parts (a), (e). or (g) be used to best describe the population of bowling scores?
After these two weeks, M and M decides to purchase his own bowling shoes and ball. (He has decided to stop bowling barefooted). His third week of bowling produced the following scores:
(h) Tn which week was he most accurate on average?
(i) In which game was he most accurate?
(j) In which week was he most consistent?