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    Test a hypothesis : key informaiton

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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: u1<=u2
    H1: u1 > u2
    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. (Show all work)

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    Solution Preview

    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: u1<=u2
    H1: u1 > u2
    a. Is this a one-tailed or a two-tailed test?
    Solution. This is a one-tailed test ...

    Solution Summary

    The solution contains detailed explanation of testing hypotheses using the five-step procedure attached in a word document.

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