4. M&Ms. As noted in an earlier chapter, the

Chapter 26, Problem 4

(choose chapter or problem)

4. M&Ms. As noted in an earlier chapter, the MasterfoodsCompany says that until very recently yellow candiesmade up 20% of its milk chocolate M&Ms, red another20%, and orange, blue, and green 10% each. Therest are brown. On his way home from work the day hewas writing these exercises, one of the authors bought abag of plain M&Ms. He got 29 yellow ones, 23 red, 12 orange,14 blue, 8 green, and 20 brown. Is this sample consistentwith the companys stated proportions? Test anappropriate hypothesis and state your conclusion.a) If the M&Ms are packaged in the stated proportions,how many of each color should the author have expectedto get in his bag?b) To see if his bag was unusual, should he testgoodness-of-fit, homogeneity, or independence?c) State the hypotheses.d) Check the conditions.e) How many degrees of freedom are there?f) Find and the P-value.g) State a conclusion.