Random samples of size n = 280 are taken from a population with p = 0.06.

a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the 112formula3.mml 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 112formula3.mml chart if samples of 160 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. The control limits have a spread with (smaller or larger) sample sizes due to the standard error for the (smaller or larger) sample size.