We Will Be Constructing Confidence Intervals for the Proportion of Each Color as Well as the Mean Number of Candies Per Bag.

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MAT 300
M&Ms® Project
Part 3 (21 pts)

We will be constructing confidence intervals for the proportion of each color as well as the mean number of candies per bag. You will use the methods of 6.3 for the proportions and 6.1 for the mean. For the Bonus, you will use the sample size formula on page 338.

You can use StatCrunch to assist with the calculations. A link for StatCrunch can be found under Tools for Success in Course Home. Here is also a link: http://statcrunch.pearsoncmg.com/statcrunch/larson_les4e/dataset/index.html. You can also find additional help on both confidence intervals and StatCrunch in the Online Math Workshop under Tab: “MAT300 Archived Workshops”. Specifically you will be looking for Confidence Intervals and Using Technology – CI.

Submit your answers in Excel, Word or pdf format. Submit your file through the M&M® project link in the weekly course content. If calculating by hand, be sure to keep at least 4-6 decimal places for the sample proportions to eliminate large rounding errors.

3 pts. Construct a 95% Confidence Interval for the proportion of blue M&Ms® candies.

3 pts. Construct a 95% Confidence Interval for the proportion of orange M&Ms® candies. 3 pts. Construct a 95% Confidence Interval for the proportion of green M&Ms® candies.

3 pts. Construct a 95% Confidence Interval for the proportion of yellow M&Ms® candies.

3 pts. Construct a 95% Confidence Interval for the proportion of red M&Ms® candies.

3 pts. Construct a 95% Confidence Interval for the proportion of brown M&Ms® candies.

3 pts. Construct a 95% Confidence Interval for the mean total number of candies (large samples).

BONUS: 5 pts. How many candies should be sampled to obtain a 95% CI of the proportion of blue candies with a 4% margin of error if the known proportion of blue candies is 0.24?

HELP:
Color Proportions…...

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