## [answered] Mars Inc. claims that they produce M&amp;Ms with the fo

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

 ? Brown ? ? 20% ? ? Red ? ? 25% ? ? Yellow ? ? 25% ? ? Orange ? ? 5% ? ? Green ? ? 15% ? ? Blue ? ? 10% ?

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

 ? Brown ? ? 23 ? ? Red ? ? 22 ? ? Yellow ? ? 21 ? ? Orange ? ? 12 ? ? Green ? ? 16 ? ? Blue ? ? 13 ?

Using the ?2goodness of fit test (? = 0.05) to determine if the proportion of M&Ms is what is claimed. Select the [test statistic, p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

a)[?2= 5.480, p-value = 0.948, RH0]

b)[?2= 10.960, p-value = 0.052, FRH0]

c)[?2= 10.960, p-value = 0.052, RH0]

d)[?2= 5.480, p-value = 0.948, FRH0]

e)[?2= 10.960, p-value = 0.026, RH0]

Categories Observed 1 23 1 22 1 21 1 12 1 16 1 13 Sum = 107 Expected (fo-fe)2/fe

(23-21.4)2/21.4 =

107*0.2=21.4

0.12

(22-26.75)2/26.75

107*0.25=26.75

= 0.843

(21-26.75)2/26.75

107*0.25=26.75

=...

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This question was answered on: Sep 18, 2020

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