A quality specialist has collected data from a process which involves the assembly of odometers into the instrument panels. Each hour at the beginning 15-minutes, a sample of size 100 (odometers) are collected and inspected. The specialist collected totally 30 samples and found totally 270 defective odometers. Answer the following 4 questions.

First, the specialist decides to use the np-chart, calculate the Center Line and the associated Upper and Lower Control Limits.

Second, what is the Type-I error (), provided that the process mean stays the same and the variation remains unchanged.

Third, if the process mean shifts to 15 (i.e., 15 defective odometers per sample of size 100), what is the Type-II error () ?

Lastly, if the process mean shifts to 15 (i.e., 15 defective odometers per sample of size 100), what is the associated ARL=?