For the hypothesis test with variance unknown and n = 12,

Chapter 9, Problem 57E

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QUESTION:

For the hypothesis test \(H_{0}: \mu=5\) against \(H_{1}: \mu<5\) with variance unknown and \(n=12\), approximate the -value for each of the following test statistics.
(a) \(t_{0}=2.05\)
(b) \(t_{0}=-1.84\)
(c) \(t_{0}=0.4\)

Equation Transcription:

Text Transcription:

H_0:mu=5

H_1:mu<5

n=20

t_0=2.05

t_0=-1.84

t_0=0.4

Questions & Answers

QUESTION:

For the hypothesis test \(H_{0}: \mu=5\) against \(H_{1}: \mu<5\) with variance unknown and \(n=12\), approximate the -value for each of the following test statistics.
(a) \(t_{0}=2.05\)
(b) \(t_{0}=-1.84\)
(c) \(t_{0}=0.4\)

Equation Transcription:

Text Transcription:

H_0:mu=5

H_1:mu<5

n=20

t_0=2.05

t_0=-1.84

t_0=0.4

ANSWER:

Step 1 of 5

Given,

Sample size,

Sample mean,

Standard deviation,

The Hypothesis:

We have to find the following:

 

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