The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 120 and the standard deviation is 2. We wish to test Ho: H = 120 versus H1: µ # 120 with a sample of n = 5 specimens. a) If the rejection region is defined as X 122.5 find the type I error probability a. Round your answer to 4 decimal places. (b) Find B for the case where the true mean heat evolved is 125.0. Round your answer to 4 decimal places. (c) Find B for the case where the true mean heat evolved is 127.0. Enter the exact answer.

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The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 120 and the standard deviation is 2. We wish

to test Ho: H = 120 versus H1: µ # 120 with a sample of n = 5 specimens. a) If the rejection region is defined as X< 117.5 or X> 122.5 find the type I error probability a. Round your answer to 4 decimal places. (b) Find B for the case where the true mean heat evolved is 125.0. Round your answer to 4 decimal places. (c) Find B for the case where the true mean heat evolved is 127.0. Enter the exact answer.