Product filling weights are normally distributed with a mean of 350 grams and a standard deviation of 15 grams.
a. Develop the control limits for the x-bar chart for samples of size 10, 20, and 30.
b. What happens to the control limits as the sample size is increased?
c. What happens when a Type I error is made?
d. What happens when a Type II error is made?
e. What is the probability of a Type I error for samples of size 10, 20, and 30?
f. What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased?