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. you wish to test
h0: μ=100
versus
h1: μ≠100
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 α. b. find β for the case in which the true mean heat evolved is 103. c. find β for the case where the true mean heat evolved is 105. this value of β is smaller than the one found in part (b). why?