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    Inference

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    The Human Resources Director of Wayjacks Inc. has administered a dexterity test to job
    applicants for a period of several years. She assumes that the times required to complete the task are distributed with a mean of 10.8 minutes. The Director would like to know if applicants who have completed a vocational course tend to complete the task faster than the norm. For a sample of 16 applicants with such a course, she observed the average time of 10.2 minutes and standard deviation of 1.25 minutes to complete the task.
    a. Set up appropriate hypotheses, give the p-value and report your conclusions.
    b. Based on the result in (a) should she reject the null hypothesis at a=0.025? Explain.
    c. What assumption(s) must you make in order that your answers are valid?

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    Solution Preview

    muo = 10.8 min
    <br>n = 16
    <br><X> = 10.2 min
    <br>sd = 1.25 m
    <br>
    <br>a.)
    <br>Null hypothesis Ho: mu <= muo
    <br>Alternative hypothesis H1: <X> > muo
    <br>
    <br>Because,
    <br>mu = <X> + z*sd/sqrt(n) <= muo
    <br>z <= ...

    Solution Summary

    The Human Resources Director of Wayjacks Inc. has administered a dexterity test to job
    applicants for a period of several years. She assumes that the times required to complete the task are distributed with a mean of 10.8 minutes. The Director would like to know if applicants who have completed a vocational course tend to complete the task faster than the norm. For a sample of 16 applicants with such a course, she observed the average time of 10.2 minutes and standard deviation of 1.25 minutes to complete the task.
    a. Set up appropriate hypotheses, give the p-value and report your conclusions.
    b. Based on the result in (a) should she reject the null hypothesis at a=0.025? Explain.
    c. What assumption(s) must you make in order that your answers are valid?

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