The heat evolved per gram of a cement mixture is approximately normally distributed. The mean is...

The heat evolved per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 3. You wish to test Ho:µ =100 versus H:µ ± 100 with a sample of n =9 specimens. (a) If the acceptance region is defined as 98.5<iS101.5, find the type I error probability a. (b) Find B for the case in which the true mean heat evolved is 103. c) Find B for the case where the true mean heat evolved is 105. This value of B is smaller than the one found in part (b). Why?

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