Be sure to state clear hypotheses, test statistic values, critical value or p-value, decision (reject/fail to reject), and conclusion in English (what does reject/fail to reject the null mean in terms of your hypotheses). **When doing calculations for the color proportions, keep at least 4-6 decimal places sample proportions, otherwise you will encounter large rounding errors.**

Construct a 95% Confidence Interval for the proportion of blue, orange, green, yellow, red, and brown M&Ms® candies.

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

MAT 300 M&Ms® Project Part 4

Be sure to state clear hypotheses, test statistic values, critical value or p-value, decision (reject/fail to reject), and conclusion in English (what does reject/fail to reject the null mean in terms of your hypotheses). **When doing calculations for the color proportions, keep at least 4-6 decimal places sample proportions, otherwise you will encounter large rounding errors.**

Test their claim that the true proportion of blue, orange, green, yellow, red, and brown M&Ms® candies is 0.24 at the 0.05 significance level.

On average, they claim that a 1.69 oz bag will contain more than 54 candies. Test this claim (µ > 54) at the 0.01 significance (σ unknown).

It is important that the total number of candies per bag does not vary very much. As a result of this quality control, the desired standard deviation is 1.5. Test the claim (α = 0.05) that the true standard deviation for number of candies per 1.69 oz bag is less than 1.5 (σ < 1.5).

MAT 300 M&Ms® Project Part 5

Be sure to state clear hypotheses, test statistic, critical value or p-value, decision (reject/fail to reject), and conclusion in English. Submit your answer as a Word, Excel, .rtf or .pdf format through the M&M® project link in the weekly course content.

MAT 300 M&Ms® Project Report

Imagine you are a quality control manager at the Masterfoods plant. Write a two to three (2–3) page report on all the parts of the project. Structure your paper using the following headers:

Introduction: Purpose of Report

Project Part 1: Sampling Method

Project Part 2, 3, 4, and 5: Method, Analysis, Results

Quality Control: Assume that at least one of the tests from Part 4 was rejected (proportion not equal to targeted amount set by Masterfoods). Discuss how you would investigate the operations of the plant to determine why the proportions were off the targeted values. Speculate on three or more possible conditions in plant and bagging process that could have caused the observed results.

Conclusion