The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100 and the standard deviation is 2. We wish to test versus with a sample of
n = 9 specimens.
(a) If the acceptance region is defined as 98.5 < x < 101.5, find the type I error probability.
(b) Find B for the case where the true mean heat evolved is 103.
(c) Find B for the case where the true mean heat evolved is 105. This value of  is smaller than the one found in part (b) above. Why?