M & M Confidence Interval Materials needed: 1 bag of M&M candies calculator Procedure: 1. Do not eat your candies yet. Count the number of blue candies in your bag, assign this number to the x variable. Count the total number of candies (including the blue ones), this is n. 2. Compute the sample proportion as follows: p= = = 3. Compute a 95% confidence interval using the following formula: p t z* p(1 - p) n 4. Compare this confidence interval with the true proportion provided below. 5. Does your confidence interval estimate includes the true proportion provided? Explain why yes or no. 6. Graph your confidence interval on a sheet.0. O 0. H 0.2 0.3 0.4 05 0.6 0.7 0.8 0.9 1 95% Condence Interval 7. Repeat the experiment for another color, this time using a 99% CI, compare your results with other classmates that are using the same color and discuss your results. Compare your results and see if you capture the true proportion provided by M 65 M. 8. Now, you can eat your candies. Email from Mars Chocolate North America to Louis Varriano (copied below). Dear Louis: Thank you for your email regarding M&M'S@ Chocolate Candies. Our color blends were selected by conducting consumer preference tests, which indicate the assortment of colors that pleased the greatest number of people and created the most attractive overall effect. On average, our mix of colors for M&M'S CHOCOLATE CANDIES is: M&M'S MILK CHOCOLATE: 24% cyan blue, 20% orange, 16% green, 14% bright yellow, 13% red, 13% brown. M&M'S PEANUT: 23% cyan blue, 23% orange, 15% green, 15% bright yellow, 12% red, 12% brown. M&M'S KIDS MINIS: 25% cyan blue, 25% orange, 12% green, 13% bright yellow, 12% red, 13% brown. M&M'S DARK: 17% cyan blue, 16% orange, 16% green, 17% bright yellow, 17% red, 17% brown. M&M'S PEANUT BUTTER and ALMOND: 20% cyan blue, 20% orange, 20% green, 20% bright yellow, 10% red, 10% brown. M&M'S PRETZEL: 28.5% blue, 14.3% each of yellow, orange, green, brown and red. 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. Have a great day