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    Hypothesis Testing for M&M/Mars

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    14. M&M/MARS, makers of M&M Chocolate Candies, conducted a national poll in which more than ten million people indicated their preference for a new color. The tally of this poll resulted in the replacement of tan-colored M&Ms with a new blue color. In the brochure "Colors," made available by M&M/MARS Consumer Affairs, the distribution of colors for the plain candies is as follows:

    Brown 30%
    Yellow 20&
    Red 20%
    Orange 10%
    Green 10%
    Blue 10%

    In a study reported in Chance (no. 4, 1996), samples of one-pound bags were used to determine whether the reported percentages were indeed valid. The following results were obtained for one sample of 506 plain candies.

    Brown 177
    Yellow 135
    Red 79
    Orange 41
    Green 36
    Blue 38

    Use alpha = .05 to determine whether these data support the percentages reported by the company.

    22. The number of units sold by three salespersons over a three-month period are shown. Use alpha = 0.05 and test for the independence of salesperson and type of product. What is your conclusion?

    Salesperson A B C
    Troutman 14 12 4
    Kempton 21 16 8
    McChristian 15 5 10

    26. A research study provided data on the primary reason for applications to an MBA program by full-time and part-time students. Do the data suggest full-time and part-time students differ in their reasons for applying to MBA programs? Explain. Use alpha = 0.01.

    Primary Reason for Application
    Student Status Program Quality Convenience/Cost Other
    Full-time 421 393 76
    Part-time 400 593 46

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    Solution Summary

    The solution provides calculations for a poll taken by M&M Mars company regarding its chocolates and two other statistics questions in an attached Word document.