The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 80 and standard deviation is 2 . We wish to test H0 : μ=80 against H1:μ≠80 with a sample of 9 specimens. (a) if the rejection region is defined as x <78.5 or x >81.5, find the type one error, (b) Find type II error for the case where the true mean heat evolved is 83 .
