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:
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.
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
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.