Q4. 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 Ho: u = 100 versus H1: µu + 100 with a sample of n = 7 specimens. a) If the acceptance region is defined as 98.5 < i< 101.5 , find the type I error probability a. b) Find B for the case where the true mean heat evolved is 103.

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Q4. 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 Ho: u = 100 versus H1: µu + 100 with a sample of n = 7
specimens.
a) If the acceptance region is defined as 98.5 < i< 101.5 , find the type I error
probability a.
b) Find B for the case where the true mean heat evolved is 103.
Transcribed Image Text:Q4. 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 Ho: u = 100 versus H1: µu + 100 with a sample of n = 7 specimens. a) If the acceptance region is defined as 98.5 < i< 101.5 , find the type I error probability a. b) Find B for the case where the true mean heat evolved is 103.
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