M and M project report

M&M Project Report

This project is a quantitative study involving descriptive statistics. Descriptive statistics allow for summations about objects (FAQs-Descriptive & Inferential Statistics), in this case m&ms. With the exception of measurement error, descriptive statistics can clarify large volumes of data with no uncertainties about the values. Each descriptive statistic reduces lots of data into a simpler summary (Trachim, 2006). The sample was collected by purchasing 1.67 oz. bags from different retailers from around the U.S. The colors were individually counted with the total number of candies per bag. Statistical analyses were conducted to determine whether the distributions were as the targets required, including the mean, standard deviation, and 95% confidence intervals. Half of the colors of the m&ms were off target, which indicates problems in the manufacturing and packaging processes. The blue, yellow, and brown did not show sufficient evidence, meaning they were off target for the target distributions. The counting and packaging machines may need recalibration and the number of flawed candies being sifted out of the batches may be out of control.

M&M Project Report

This quantitative study was performed to evaluate whether the individual colors of m&ms were within the required targets. The scope of the project included 57, 1.67 oz. bags of m&ms being collected from different areas and different retail stores. It involved 3,183 candies total. Statistical analysis was performed to determine the mean, standard deviation, and confidence intervals for each color, as well as the total number of candies per bag and checking for outliers.

Part 1

Nineteen individuals purchased a bag of 1.67 oz. M&Ms from three locations, for a total of 57 bags containing 3,183 candies. The candies were separated and counted by color, bringing the individual totals to Blue 687, Orange 700, Green 593, Yellow 397, Red 438, and Brown 368, for a full random sample.

Part 2

The mean, the average of the population, the standard deviation, shows how much deviation is in the sample, and a histogram, a graph to show the relative frequency or the percentage of the population, was prepared. The means calculated as follows: blue 0.2158, orange 0.2199, green 0.1863, yellow 0.1247, red 0.1376, and brown 0.1156. The sample deviation calculated at 2.5. The histogram was bell shaped with one outlier, numbers outside of the given range, of 50 candies, or one bag.

Part 3

Confidence intervals at 95%, meaning the confidence level that the total number of candies for each color will fall between two end points is 95%, was calculated for each color. The results showed as follows: blue 20.15% to 23.01%, orange 20.57% to 23.42%, green 17.17% to 20.09%, yellow 10.96% to 13.98%, red 12.26% to 15.26%, and brown 10.04% to 13.08%.

Part 4

The hypothesis, statement about the parameter of the population, stated the means for the individual colors should be as follows: blue 0.24, orange 0.20, green 0.16, yellow 0.14, red 0.13 and brown 0.13. Testing of the hypothesis showed the blue, yellow, and brown did not have sufficient evidence to support the claims. Testing the orange, green, and red candy means contained sufficient evidence to support the claims.

Part 5

The hypothesis stated the means of the red and brown candy were equal. When this was tested, there was sufficient evidence to support the claim. The probability value was within the confidence range.

Quality Assurance