The data of Exercise 15.8 may be looked upon as evidence that the standard of \(3 \%\) unusable bearings is being exceeded.

(a) Use the data from Exercise 15.8 to construct new control limits for the fraction unusable.

(b) Using the control limits found in part (a), continue the control of the process by plotting the following data on the number of unusable bearings obtained in 20 subsequent samples of size n=100: 2, 4,1, 3, 6, 8, 10, 4, 6, 8, 9, 13, 0, 1, 6, 2, 3, 5, 7and 5.

Data From Exercise 15.8

Transcribed Image Text:

15.8 Thirty-five consecutive samples of 100 bearings each, taken from a factory, had, respectively, 1, 2, 5, 3, 4, 2, 6, 8, 1, 2, 3, 9, 8, 0, 12, 10, 5, 4, 1, 8, 6, 7, 9, 4, 8, 1, 2, 6, 7, 5, 8, 1, 3, 4 and 2 unusable bearings. If the fraction unusable is to be maintained at 0.03, con- struct a p chart for these data and state whether or not this standard is being met.