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Math Help - hypothesis testing problem

  1. #1
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    hypothesis testing problem

    The statistical mean can be used to measure various aspects of the Hispanic culture and
    the Hispanic market, including size of purchase, frequency of purchase, age of
    consumer, size of store, and so on. Use techniques presented in this chapter to analyze
    each of the following and discuss how the results might affect marketing decisions.
    (a) What is the average age of a purchaser of Doritos Salsa Verde? Suppose initial
    tests indicate that the mean age is 31. Is this figure really correct? To test whether it is, a
    researcher randomly contacts 24 purchasers of Doritos Salsa Verde with results show in
    the following Excel output. Discuss the output in terms of a hypothesis test to determine
    whether the mean age is actually 31. Use alpha = 0.01.

    mean = 28.81
    variance = 50.2651
    observations = 24
    degrees of freedom = 23
    test statistic = -1.52
    P(T<=1) one-tail = 0.0716
    t critical one-tail = 1.71
    P(T<=t) two-tail = 0.1431
    t critical two tail = 2.07
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by raven201 View Post
    The statistical mean can be used to measure various aspects of the Hispanic culture and
    the Hispanic market, including size of purchase, frequency of purchase, age of
    consumer, size of store, and so on. Use techniques presented in this chapter to analyze
    each of the following and discuss how the results might affect marketing decisions.
    (a) What is the average age of a purchaser of Doritos Salsa Verde? Suppose initial
    tests indicate that the mean age is 31. Is this figure really correct? To test whether it is, a
    researcher randomly contacts 24 purchasers of Doritos Salsa Verde with results show in
    the following Excel output. Discuss the output in terms of a hypothesis test to determine
    whether the mean age is actually 31. Use alpha = 0.01.

    mean = 28.81
    variance = 50.2651
    observations = 24
    degrees of freedom = 23
    test statistic = -1.52
    P(T<=1) one-tail = 0.0716
    t critical one-tail = 1.71
    P(T<=t) two-tail = 0.1431
    t critical two tail = 2.07
    The critical values you have are for \alpha=0.05 not 0.01, but that does not matter, the test statistic is less than your critical values so you do not reject the null hypothesis (if you had the correct critical values this would be even more so as the will be bigger).

    CB
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