Question

asnwer the following questions

Assume you get the following M&M’s in your bag:

Blue	Orange	Green	Yellow	Red	Brown	Total
10	14	15	9	2	6	56

Now assume that your group of 4 students had the following numbers combined:

Blue	Orange	Green	Yellow	Red	Brown	Total
40	47	24	24	24	15	174

1- Pick one of the colors. For this color, you need to calculate 2 confidence intervals.

a.Calculate a 95% confidence interval for the proportion of the color you were assigned of M&M’s based on the count in just your bag.

b.Now with your group calculate a 95% confidence interval for the proportion of the color you were assigned of M&M’s based on the count from the class

2-Compare these two confidence intervals. What do you notice about the p-hat for each and the margin of error for each? Why do you think this is true?

Now assume the classes’ distribution is as follows:

Blue	Orange	Green	Yellow	Red	Brown	Total
297	298	159	175	163	120	1212

3-Now calculate a 95% confidence interval for your color based on these numbers.

4-How does this interval compare with your other intervals?

The following is the distribution of colors for milk chocolate m&m’s from the company:

24% blue, 20% orange, 16% green, 14% yellow, 13% red, 13% brown.

5-Do your intervals capture the true percentage based on the above information from M&M Mars? Do all of them, or just some of them?

6-If they don’t capture the true proportion, why do you think that is?

Answer 1