M&M’s As noted in an earlier chapter, the Master-foodsCompany says that until very recently yellow candiesmade up 20% of its milk chocolate M&M’s, red another20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writ-ing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange,14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropri-ate hypothesis and state your conclusion. a) If the M&M’s are packaged in the stated proportions,how many of each color should the author haveexpected to get in his bag? 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 x2and the P-value.g) State a conclusion.

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M&M’s As noted in an earlier chapter, the Master-foods
Company says that until very recently yellow candies
made up 20% of its milk chocolate M&M’s, red another
20%, and orange, blue, and green 10% each. The rest are
brown. On his way home from work the day he was writ-
ing these exercises, one of the authors bought a bag of
plain M&M’s. He got 29 yellow ones, 23 red, 12 orange,
14 blue, 8 green, and 20 brown. Is this sample consistent
with the company’s stated proportions? Test an appropri-
ate hypothesis and state your conclusion.
a) If the M&M’s are packaged in the stated proportions,
how many of each color should the author have
expected to get in his bag?
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.
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