: A test is made of the hypotheses Ho: ≤ 12 versus H₁ µ> 12. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred. a. μ = 10, Ho is rejected. b. μ = 12, Ho is not rejected. c. μ = 14, Ho is not rejected. d. μ = 16, Ho is rejected.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A test is made of the hypotheses \( H_0 : \mu \leq 12 \) versus \( H_1 : \mu > 12 \). For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred.

a. \( \mu = 10 \), \( H_0 \) is rejected.

b. \( \mu = 12 \), \( H_0 \) is not rejected.

c. \( \mu = 14 \), \( H_0 \) is not rejected.

d. \( \mu = 16 \), \( H_0 \) is rejected.
Transcribed Image Text:A test is made of the hypotheses \( H_0 : \mu \leq 12 \) versus \( H_1 : \mu > 12 \). For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred. a. \( \mu = 10 \), \( H_0 \) is rejected. b. \( \mu = 12 \), \( H_0 \) is not rejected. c. \( \mu = 14 \), \( H_0 \) is not rejected. d. \( \mu = 16 \), \( H_0 \) is rejected.
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