You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 85.9 Ha:4 > 85.9 You believe the population is normally distributed and you know the standard deviation is o = 14.4. You obtain a sample mean of M = 92.4 for a sample of size n = 33. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic -

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.9.

- There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.9.

- The sample data support the claim that the population mean is greater than 85.9.

- There is not sufficient sample evidence to support the claim that the population mean is greater than 85.9.
Transcribed Image Text:The final conclusion is that... - There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.9. - There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.9. - The sample data support the claim that the population mean is greater than 85.9. - There is not sufficient sample evidence to support the claim that the population mean is greater than 85.9.
You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.10\).

\[
H_0: \mu = 85.9 \\
H_a: \mu > 85.9
\]

You believe the population is normally distributed and you know the standard deviation is \(\sigma = 14.4\). You obtain a sample mean of \(M = 92.4\) for a sample of size \(n = 33\).

What is the critical value for this test? (Report answer accurate to three decimal places.)

Critical value = [____]

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

Test statistic = [____]

The test statistic is...
- ( ) in the critical region
- ( ) not in the critical region

This test statistic leads to a decision to...
- ( ) reject the null
- ( ) accept the null
- ( ) fail to reject the null
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.10\). \[ H_0: \mu = 85.9 \\ H_a: \mu > 85.9 \] You believe the population is normally distributed and you know the standard deviation is \(\sigma = 14.4\). You obtain a sample mean of \(M = 92.4\) for a sample of size \(n = 33\). What is the critical value for this test? (Report answer accurate to three decimal places.) Critical value = [____] What is the test statistic for this sample? (Report answer accurate to three decimal places.) Test statistic = [____] The test statistic is... - ( ) in the critical region - ( ) not in the critical region This test statistic leads to a decision to... - ( ) reject the null - ( ) accept the null - ( ) fail to reject the null
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