# Hypothesis Testing of Mean

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SEE ATTACHED FILE - p-Value Approach to Hypothesis Testing

(10.28)

For a sample of 12 items from a normally distributed population for which the standard deviation is σ = 17.0, the sample mean is 230.8. At the 0.05 level of significance, test Ho: µ ≤ 220 versus H1:µ > 220. Determine and interpret the p-value for the test.

NOTE: Please use an Excel spreadsheet for response. Please do not just

provide the answers but show in complete detail how you arrived at the

answers, step-by-step, from the beginning to the end of the solution.

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##### 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. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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For a sample of 12 items from a normally distributed population for which the standard deviation is σ = 17.0, the sample mean is 230.8. At the 0.05 level of significance, test Ho: µ ≤ 220 versus H1:µ > 220. Determine and interpret the p-value for the test.

Answer

The null hypothesis tested is

Ho: µ ≤ 220

The alternative hypothesis is

H1: µ > 220

Significance level =0.05

The test statistic used is . Given that =172, n = 36, = ...

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