Question

Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...

Mars Inc. claims that they produce M&Ms with the following distributions:

Brown 30% Red 20% Yellow 20%
Orange 10% Green 10% Blue 10%


A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were:

Brown 22 Red 24 Yellow 19
Orange 14 Green 15 Blue 15


Using the χ2 goodness of fit test to determine if the proportion of M&Ms is what is claimed, what is the test statistic?

a) χ2 = 8.049

b) χ2 = 16.098

c) χ2 = 1.960

d) χ2 = 7.249

e) χ2 = 11.749

f) None of the above

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Answer #1

a) χ2 = 8.049

Chi square formula

Expected frequencies = (Row total* Column Total) /Grand Total.

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