From the Consumer Affairs Office, he learned the expected percentages in each pack of candy. He then conducted his own study and posted his results on his website. This paper seeks to compare the spring…
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Madison assumed all different colors are combined together and made at different time along the way into different size packages. According to the M&M’s website, each package of chocolate milk should contain, 24%, 14%, 16%, 20%, 13%, and 14% of blue, brown, green, orange, red, and yellow respectively. This is what is stated in the consumer office. After doing a practical survey, Madison found out that the percentages indicated in the packages were not even close to the distribution stated. Madison concluded that they produce the indicated percentages of each color and then just fill up the packs off weight based method. This infers that any particular package may be much away off the indicated percentage. Due to this, Madison conducted his study and indicated his results. He did this by random sampling of packs.
Madison acquired M&M’s sold in cardboard box containing 48 packages. He then counted every color and then compared the total of all the colors in every package to the sum of the pack as an error checking form. He then did analysis as follows: according to Madison, he expected 24%, 13%, 16%, 29%, 13%, and 14% of blue, brown, green, orange, red, and yellow respectively. However, he observed 18.36%, 14.16%, 18.44%, 20.76%, 14.20%, and 14.08% of blue, brown, green, orange, red, and yellow respectively. The row indicating the quantity expected is based on the total M&M’s observed numbers using expected percent values from M&M’s website. As seen in the results, blue which is the most observed color in the M&M was actually third in popularity watch. It was about 25 percent less than the amount expected. However, orange, brown, yellow, and red were within 2% points on what was expected as their values. Yellow was however closest. At the end of the analysis, it appears that pack 22 is much closer to the published
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Part 1: The sampling method adopted is simple random sample since each color is equally likely to occur. Part 2: There were 1535 blue candies in the bag out of 7356 candies and the proportion of blue candies is 0.2087. The 95% Confidence Interval is (0.1994, 0.218).
Sampling can be of various type that they include Random Sampling, Judgement Sampling, Purposive Sampling and Accidental Sampling. The sampling that was used in our case was Simple Random Sampling in which a random choice of events(any 3 bags drawn at a time with candies in it ) was pulled out by 17 students toevaluate whether the number of candies were in right proportion as per decided before the manufacturing process and also from the proportion of prepared candies.
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d part is the calculation of sample proportions for each bin: mean of candies, creating the Histogram, compute descriptive statistics, and later summarized the information (Larson & Farber 96). The third part, I located confidence interval of 95% for the total candies in the
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