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# Hypothesis Testing: Normal Probability Distribution

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Consider the following hypothesis test:

Ho (null hypothesis): µ = 15
Ha (alternative hypothesis): µ ≠ 15

A sample of 25 gives a sample mean of 14.2 and sample standard deviation of 5. Answer the following questions regarding the hypothesis test.

a) At α = 0.05, what is the rejection rule?
b) Compute the value of the test statistic
c) What is the p-value?
d) What is your conclusion?

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#### Solution Preview

Please see the attachments for a formatted version of the solution:

Normal Probability Distribution

Consider the following hypothesis test.
Ho: µ = 15
Ha: µ ≠ 15
A sample of 25 gives a sample mean of 14.2 and sample standard deviation of 5.
Answers
a) At α = 0.05, what is the rejection rule?
Reject the null ...

#### Solution Summary

The solution provides step-by-step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Step by step calculations and charts are provided, along with explanations for the calculations. An Excel version of the solution is also included.

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