M&Ms. The makers of M&Ms claim that the colors of M&Ms are distributed as follow
ID: 1719629 • Letter: M
Question
M&Ms. The makers of M&Ms claim that the colors of M&Ms are distributed as follows: 20% yellow, 20% red, 10% orange, 10% blue, 10% green and the rest are brown.
You buy a bag and get 29 yellow, 23 red, 12 orange, 14 blue, 8 green, and 20 brown.
a. (0.10 points) If the M&Ms are packaged in the stated proportions, how many of each color should you expect to get?
b. (0.10 points) To see if your bag was unusual should you test goodness-of-fit, homogeneity, or independence?
c. (0.10 points) state the hypotheses
d. (0.10 points) how many degrees of freedom are there?
e. (0.30 points) Find the chi-square statistic and the p-value
f. (0.10 points) Draw a sketch of this distribution and label your chi-square statistic and p-value.
g. (0.10 points) state a conclusion
Explanation / Answer
H0: Packages are according to the said proportion
Ha: atleast two are not according to the said proportion
Two tailed chi square test
Goodness of fit to be used
Prepare contingency table as follows:
Chi square = 9.314
df = 6
p value = 0.156674. The result is not significant at p < 0.05.
Accept null hypothesis.
Observed 29 23 12 14 8 20 106 Expected 21.2 21.2 10.6 10.6 10.6 31.8 106 Chi square 2.869811 0.15283 0.184906 1.090566 0.637736 4.378616 9.314465Related Questions
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