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 h0: 100 versus with a sample of n 9 specimens. (a) if the rejection region is defined as or find the type i error probability . (b) find for the case where the true mean heat evolved is 103. (c) find for the case where the true mean heat evolved is 105. this value of is smaller than the one found in part (b). why