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Random samples of size n = 330 are taken from a population with p = 0.09....

Random samples of size n = 330 are taken from a population with p = 0.09.

a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p⎯⎯p¯ chart. (Round the value for the centerline to 2 decimal places and the values for the UCL and LCL to 3 decimal places.)

Centerline _________

Upper control limit __________

Lower control limit __________


b. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the p⎯⎯p¯ chart if samples of 210 are used. (Round the value for the centerline to 2 decimal places and the values for the UCL and LCL to 3 decimal places.)

Centerline_____________

Upper control limit____________

Lower control limit____________

c. Discuss the effect of the sample size on the control limits. (fill in the blanks)

The control limits have a __________ spread with smaller sample sizes due to the _____________ standard error for the smaller sample size.

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