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    A sample of 65 observations is selected from one population. The sample mean is 2.67 and the
    sample standard deviation is 0.75. A sample of 50 observations is selected from a second population.
    The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following
    test of hypothesis using the .08 significance level.
    H0: μ1≤ μ2
    H1: μ1 > μ2
    a. Is this a one-tailed or a two-tailed test?
    b. State the decision rule.
    c. Compute the value of the test statistic.
    d. What is your decision regarding H0?
    e. What is the p-value?

    Note: Use the five-step hypothesis testing procedure
    to solve the following exercises.

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    https://brainmass.com/statistics/hypothesis-testing/statistics-14456

    Solution Preview

    a) This is a 1-tailed test since the null hypothesis is "<=". If it were "=" it would be a 2-tailed test.
    <br>
    <br>b) Rule: Reject H0 if the p value < .08 (significance ...

    Solution Summary

    A sample of 65 observations is selected from one population. The sample mean is 2.67 and the
    sample standard deviation is 0.75. A sample of 50 observations is selected from a second population.
    The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following
    test of hypothesis using the .08 significance level.
    H0: &#956;1&#8804; &#956;2
    H1: &#956;1 > &#956;2
    a. Is this a one-tailed or a two-tailed test?
    b. State the decision rule.
    c. Compute the value of the test statistic.
    d. What is your decision regarding H0?
    e. What is the p-value?

    Note: Use the five-step hypothesis testing procedure
    to solve the following exercises.

    $2.49

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