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    One-Way Anova Problem - Bottle Design

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    A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three-bottle designs, which were priced the same. The table below gives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data, SST, SSB, and SSE can be calculated to be 586.1667, 421.6667, and 1.8333, respectively.

    a Test the null hypothesis H0 that no differences exist between the effects of the bottle design on mean daily sales. Set a _ .05. Can we conclude that the different bottle designs have different effects on mean sales?

    b Test the null hypothesis H0 that no differences exist between the effects of the supermarkets on mean daily sales. Set a _ .05. Can we conclude that the different supermarkets have different effects on mean sales?

    c Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the bottle design effects on mean daily sales. Which bottle design(s) maximize mean sales?

    Results of a Bottle Design Experiment

    Supermarket, j

    Bottle Design, I 1 2 3 4
    A 16 14 1 6
    B 33 30 19 23
    C 23 21 8 12

    © BrainMass Inc. brainmass.com June 3, 2020, 5:22 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/one-way-anova-problem-bottle-design-23528

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    Solution Summary

    The solution contains detailed explanation of testing hypotheses using the five-step procedures.

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