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    One Sample Test Hypothesis

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    Given the following hypothesis:

    H0: µ =/>20
    H1: µ<20

    A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Using the .01 significance level, can we conclude the population mean is less than 20?

    a. State the decision rule.
    b. Compute the value of the test statistic.
    c. What is your decision regarding the null hypothesis?
    d. Estimate the p-value.

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    This solution computed the required results by using functions in Microsoft Excel. An Excel file is attached which demonstrates how the calculations were completed and written responses are provided in the response text box.