Candy Project Due Thursday, July 16, 2015 This is an individual project worth a total of 60 points. You must submit your own work in order to get any credit. Your final report should be typed and include your answers to all the questions. Please save your work as a Microsoft Word or PDF file, and submit your report through the \"Lab Assignments & Projects\" section of MyStatLab. In this project, you will analyze the sample data located in the \"M and M Plain Candy Weights\" data set in Statdisk, and compare it to the MARS Company's claims. See below for the percentage distribution claimed by the MARS Company. Note: You will not use the candy weights. You will only need to count the number of each candy color. Claimed by MARS Company PLAIN M&M'S Color Distribution in One Package Blue 24.0% Brown 13.0% Green 16.0% Orange 20.0% Red 13.0% Yellow 14.0% PART I - Summarizing and Graphing Data (10 pts) 1. For the candy counts, organize the information in a distribution table categorized by color. Your table should include a column for frequency, proportion (as a fraction and a decimal) and percentage of each color. Be sure to appropriately label your table and total each column. 2. Graph the data using a pie chart. 3. If you wanted to estimate the percentage of each color of candy to within 2 percentage points, how many individual pieces of candy of each color must you sample? Assume you want to be 90% confident in your results. PART II - Confidence Intervals (20 pts) 1. Based on the sample data, find a 90% confidence interval to estimate the proportion (or percentage) of each color. 2. Based on your confidence intervals, would you disagree with any of the company's claims? Explain your reasoning. 3. What statistical measures could you modify to make your confidence intervals more precise? PART III - Hypothesis Testing (30 pts) 1. Using the sample data, conduct a hypothesis test for each color to determine if the percentage of candies is different than what is claimed by the company. Use a 0.10 level of significance. Be sure to list your null and alternative hypotheses, the test statistic, the p-value and the critical value(s) for each test. What is your decision of each test regarding the null hypothesis? What is the conclusion of each hypothesis test in the context of the