M&M Candies: A Statistical Analysis

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M&M Report Introduction: Purpose of Report The purpose of this report is to report the findings from statistical analysis on the claims M&M has made concerning proportions, the number of each color of M&M candies in each 1.69 oz. bag of candies and a claim for quality control. Part I A random sample of 105 bags was collected. These bags were collected from 105 retailer establishments from across the country. Each bag was opened, the different colors of candies separated, and each color was counted in the sample. The results were as follows: blue 1,249, orange 1,270, green 1,002, yellow 763, red 798, and brown 761, with the total number of candies at 5,843 for the total sample population. Color proportions were calculated as follows: blue 21.38%, orange 21.74%, green 17.15%, yellow 13.06%, red 13.66%, and brown 13.02% of the total sample. Part II Statistical analysis was performed with results as follows: the mean, or average number of candies per bag, was 55.648. The standard deviation, a measure of variance, was 2.8689. This means that the number of candies per bag can vary up to three candies. A histogram, a graph showing how the frequency of the data was distributed, was done to determine the characteristics of the data. The histogram appeared to be skewed to the left (negatively skewed). This means the data was not uniform. Part III Confidence intervals were performed for each color. The confidence interval determines the parameter of the population

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