A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the a = 0.01 level of significance? Determine the null and alternative hypotheses. Ho H₁: 4 COD

A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the a = 0.01 level of significance? Determine the null and alternative hypotheses. Ho H₁: 4 COD

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the a = 0.01 level
of significance?
Determine the null and alternative hypotheses.
Ho
H₁:
...

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Step 1: Information given is

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Step 2: Finding the null and alternative hypothesis

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Step 3: Finding Test statistic

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Step 4: Finding P-value

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Step 5: Conclusion

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Follow-up Questions

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Follow-up Question

What is the result of the hypothesis test?
the null hypothesis because the P-value is
Reject
Do not reject
the level of significance. At the a= 0.01 level of significance, the population mean

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Follow-up Question

Determine the P-value.
The P-value is
(Round to three decimal places as needed.)

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Follow-up Question

Compute the test statistic.

\[ \blacktriangledown = \Box \]

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