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In: Statistics and Probability

M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13%...

M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13% brown.

Each large production batch is blended to those ratios and mixed thoroughly. However, since the individual packages are filled by weight on high-speed equipment, and not by count, it is possible to have an unusual color distribution.

1. Treat your bag of M&M's as a simple random sample and:

a. Count the following --

Number of GREEN M&M's: 9

Total number of M&M's: 56

Proportion of GREEN M&M's: 9/56

b. See if the requirements for constructing a confidence interval for proportions are satisfied. Show your work here:

c. The conditions might not be satisfied, depending on how many candies were in your bag. If the conditions are not met, what could you do? (note—you don’t have to do it, just say what you would do)

d. Construct a 95% confidence interval for the proportion of GREEN M&M's using your data (not using any classmate data yet). Feel free to use the calculator’s Interval command. Be sure to include an interpretation of your interval.

My interval:

Interpretation sentence:

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