A test is made of the hypotheses H0:p ?? 10. For each of

Chapter 6, Problem 4E

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QUESTION:

A test is made of the hypotheses \(H_0:\mu \leq 10\) versus \(H_1:\mu>10\). For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred.

a. \(\mu=8,H_0\) is rejected.

b. \(\mu=10,H_0\) is not rejected.

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

d. \(\mu=12,H_0\) is rejected.

Equation Transcription:

Text Transcription:

H_0:mu{</=}10

H_1:mu>10

mu=8,H_0

mu=10,H_0

mu=14,H_0

mu=12,H_0

Questions & Answers

QUESTION:

A test is made of the hypotheses \(H_0:\mu \leq 10\) versus \(H_1:\mu>10\). For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred.

a. \(\mu=8,H_0\) is rejected.

b. \(\mu=10,H_0\) is not rejected.

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

d. \(\mu=12,H_0\) is rejected.

Equation Transcription:

Text Transcription:

H_0:mu{</=}10

H_1:mu>10

mu=8,H_0

mu=10,H_0

mu=14,H_0

mu=12,H_0

ANSWER:

Step 1 of 5

Given

Type I error: Reject the null hypothesis , when  is true.

Type II error: Fail to reject the null hypothesis , when  is false.

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