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    Statistics ANOVA: LLD Records, intent to purchase scores

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    At LLD Records, some of the market research of college students is done during promotions on college campuses, while other market research of college students is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD the company solicits an "intent-to-purchase" score from the student, with 0 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase").

    The manager finds the following information for 135 intent-to-purchase scores for a soon-to-be-released CD:
    Groups Sample Size Sample Mean Sample Variance

    on campus 27 60.7 177.4
    by mail 27 67.4 56.2
    by phone 27 64.5 148.3
    by internet 27 68.7 67.7
    In store 27 71.6 100.3

    The manager's next step is to conduct a one-way, independent-samples ANOVA test to decide if there is a difference in the mean intent-to-purchase score for this CD depending on the method of collecting the scores.

    Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.

    What is the value of the mean square for error?

    What is the value of the mean square for treatments that would be reported in the ANOVA test?

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    Solution Preview

    (a) MSE = Mean of the sample variances = (177.4 + 56.2 + 148.3 + 67.7 + 100.3)/5 = 109.98

    (b) Sum of ...

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