Question 2 (Quality Management)-(20 points)

A process is to produce a product that will stand an average force () of 1000 pounds. The population standard deviation ( is 300.

a) (7 points) Specify the 2.5 control limits for the X -chart when samples of size 4 are used. Find risk value.

b) (5 points) Establish upper and lower control limits for the R -chart when samples of size 9 are to be taken and .

c) (8 points) If the desired probability of a type I error ( risk) is 3% find upper and lower control limits for X-chart. (Do not use the values given in a)