hypothesis will be used to test that a population mean

Chapter 9, Problem 53E

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QUESTION:

A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value for the test statistic \(T_{0}\) for the following significance levels?
(a) \(\alpha=0.01\) and \(n=20\)
(b) \(\alpha=0.05\) and \(n=12\)
(c) \(\alpha=0.10\) and \(n=15\)

Equation Transcription:

Text Transcription:

T_0

alpha=0.01

n=20

alpha=0.05

n=12

alpha=0.10

n=15

Questions & Answers

QUESTION:

A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value for the test statistic \(T_{0}\) for the following significance levels?
(a) \(\alpha=0.01\) and \(n=20\)
(b) \(\alpha=0.05\) and \(n=12\)
(c) \(\alpha=0.10\) and \(n=15\)

Equation Transcription:

Text Transcription:

T_0

alpha=0.01

n=20

alpha=0.05

n=12

alpha=0.10

n=15

ANSWER:

Step 1 of 5

Given,

The Hypothesis:

We have to find the critical value for the test statistic  for the following significance levels and sample sizes

 

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