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M&M Project

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M&M Project Math 336 (1) Buy a packet of regular size M&M's. Record the frequency of each color and then transfer this information to a bar chart and a pie chart.

(2) Represent the number of M&M's per packet on a histogram using all of the class data. Is your histogram normally distributed? Check using the empirical rule. Also choose your favorite color and draw a histogram of the number of M&M’s of that color per packet based on class data. Draw a box-plot of the total number of data in a packet based on class data.

(3) There are numerous hypothesis tests that can be done. Obtain the mean number of M&M's per packet for the whole class. Consider as a null hypothesize that the actual number of M&M's in your packet is the actual number of M&M's per packet as intended by the manufacturers. Test this hypothesis using the sample data from the class. Comment on the difference between a type I and type II error in this context. (NOTE: Be careful in the choice of your sample size.)

(4) Test the assumption that on average there are the same proportion of red and yellow M&M’s per packet.

(5) Devise a test to see if there are the same number of red M&M’s per packet.

(6) Another obvious test would be to test the proportion of colors present. Intuitively, we might expect each color to occur with the same probability p (Null Hypothesis) but a quick inspection of data suggests this is not so. Test this hypothesis.

(5) Perhaps the manufacturers do not stick to any rule when it comes to color distribution, although they claim otherwise. Construct a test with the assumption that the Mar’s Company has a color code distribution (Null Hypothesis). In the event that the hypothesis is true, what is the approximate distribution for M&M colors based on your test.

(6) This test can be further modified. Do you think that our intuitive assumption is

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