Repeat Exercise 9 10 using a sample size of n 5 and the same acceptance region Exercise 9 10 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 You wish to test H 0 100 versus H 1 100 with a sample of n 9 specimens (a) If the acceptance region is defined as 98 5 x 101 5, find the type I error probability (b) Find B for the case where the true mean heat evolved is 103 (c) Find B for the case where the true mean heat evolved is 105 This value of is smaller than the one found in part (b) above Why

Question: Repeat Exercise 9-10 using a sample size of n = 5 and the same acceptance region. Exercise 9-10 The heat evolved in calories per gram

Repeat Exercise 9-10 using a sample size of n = 5 and the same acceptance region.

Exercise 9-10

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. You wish to test H₀: μ = 100 versus H₁: μ ≠ 100 with a sample of n = 9 specimens.

(a) If the acceptance region is defined as 98.5 < x < 101.5, find the type I error probability.
(b) Find B for the case where the true mean heat evolved is 103.
(c) Find B for the case where the true mean heat evolved is 105. This value of is smaller than the one found in part (b) above. Why?

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