Moduel 6

Chi Square Goodness of Fit Testing with M&Ms

The plain M&M's Milk Chocolates are mass-produced with a distribution of 24% blue, 20% orange, 16% green, 14% yellow, 13% red and 13% brown.The peanut M&M's are mass-produced with a distribution of 23% blue, 23% orange, 15% green, 15% yellow, 12% red and 12% brown.

• Open a packet of your favorite M&Ms, plain or peanut.
• Count the number of M&M's in the packet.
• Count number of BLUE, ORANGE, GREEN, YELLOW, RED and BROWN candies.
• Conduct a Goodness of Fit test to determine if the distribution of colors in the package fits the expected distribution.Use a .05 significance level.Be sure to use the percentages shown above as the expected values.
• After each student has posted their results (including the totals for each color and the p-value and conclusion for the hypothesis test, the instructor will summarize the findings.What we should see is that most, if not all, of the packages will fit the expected distribution, but with a small package of candy, anything is possible.