Quality control. Mars, Inc. says that the colors of its M&M's® candies are 14% yellow, 13% red, 20% orange,24% blue, 16% green and 13% brown. (www.mms.conV us/about/products /milkchocolate). On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain MM's. He got 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company's advertised proportions? Test an appropriate hypothesis and state your conclusion. a) If the M&M's are packaged in the advertised proportions, how many of each color should the author have expected in his bag of M&M's?
b) To see if his bag was unusual, should he test goodness- of-fit, homogeneity, or independence?
c) State the hypotheses.
d) Check the conditions.
e) How many degrees of freedom are there?
f) Find x2 and the P-value.
g) State a conclusion.