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M&M’s Write Up

1. Bag Weight Analysis

The bag weight analysis focuses on whether the weight of the bag of M&Ms is consistent with the advertised weight around 50oz. We assumed the series of data containing the classes’ weights to be approximately normal. Since n=48, the large-sample test for population mean was used to determine the plausibility that the advertised weight was true.

2. Color Distribution Analysis

The color distribution analysis calculated whether or not the color distribution of the bag of M&Ms accurately depicts the advertised proportions. The number of orange M&Ms in our bag suggested that the proportion was consistent with the advertised proportion of 20%. Since all of the expected values for the distributions were over the standard values, the data suggested that the color distribution was not consistent with the advertised distribution. However, another possibility is that the color distributions truly are not accurate and were ball-parked for curious customers.

3. M&M Variability Analysis

Through the use of a histogram and confidence interval of the standard deviation, the variance in the weight of individual M&Ms was analyzed. The sample size was taken from around 50oz bag of M&Ms. Judging from the shape of the histogram, the confidence range, and the analysis of the M&M manufacturing process, it was concluded that individual M&Ms have very little variance from the mean weight.

4. Defects Analysis
To determine how to interpret this data, the manufacturing process must be taken into account. However, there is a quality control process and since almost every M&Ms has few chipped candies. There is no way to determine if got chipped during the handling or shipping.

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