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Elementary statistics: Picturing the world. The company should investigate internal processes to ascertain where the problems arise (Larson & Farber, 2009). However, there is sufficient evidence of the claims for percentages of the other colors. There is a possibility that either more or less red candies will be packed in a bag. The company does not have adequate evidence to support the claims of the number of red candies it packs. This can be a poor working condition at the factory Summary First, surveys should focus on the production process at the factory. This implies that there is a gap packaging of red candies. This can be as a result of over-packaging or under-packaging of red candies. This is because 13% falls within the confidence interval for brown that is, 12.20% and 14.18% Quality controlįrom the above test of claims, red does not match the claims of the company. This implies that there is no reason to doubt the claim of the company at the 5% level of confidence. P: the proportion of successes in populationįrom the above results, we do not reject the null hypothesis. The results for testing the claims are shown below. The claims will be tested at a 5% level of confidence. This section entails testing the claim that in a bag of M & M candies 24% of the candies are blue, 20% are orange, 16% of the candies are green, 14% of the total candies are yellow, 13% of the total candies are red, and 13% of the total candies are brown. Also, we can deduce that at a 95% confidence interval, the mean number of candies in a bag will range between 55 and 56 (Healey, 2011). These intervals show the range of percentages of each color one can pick from a random bag of candies. The confidence interval for orange lies between 20.63% and 23.17%, for green lies between 17.86% and 20.9%, for yellow lies between 11.25% and 13.55%, for red lies between 11.04% and 13.03%, and brown lies between 10.98% and 13.78%. The interpretation is that we are 95% confident that in a bag of candies, between 20.26% and 23.54% represent blue candies. The confidence interval range is used to compute the upper and lower limits. The table below summarizes the sample proportion of the various colors. The sample proportion is obtained by dividing the total of the sample and the population total (n/N).
#M&M GENERATOR SOFTWARE#
Simple software such as excel can be used to calculate the proportions. The second part entails computing the proportions of each color in the sample. Therefore, there is randomness in the colors of the candies (Larson & Farber, 2009). Bag two contains a high amount of orange and green, while bag three contains a high number of blue and green. For instance, bag one has the highest number of blue candies. The distribution of the candies as per the colors also differs in each bag. Some have 55 candies, while others have 56 candies. The resulting information is then put together to form a data set, as illustrated in the table below.įrom the table, it is evident that each bag does not contain an even number of candies. After the purchase of the bags, the bags are opened, and the number of each color is recorded under the bag (Larson & Farber, 2009). The purchase of the candies from different stores increases the size of the population. Further, the samples are purchased by different people from different outlets. This part entails purchasing 24 bags of M & M candies. The first part of the project entails sampling.
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The objective of the paper is to provide an understanding of the packing of M & M candies using statistical methods (Larson & Farber, 2009). The parts of the paper comprise data collection, coming up with the proportion of the sample mean and sample proportion, confidence interval testing at 95%, and testing various claims. This gives all elements in the population, even the chance of being selected. There is no well-defined approach used to collect data for the sample. It also studies the method as a way of quality control of the production process. The report examines the five parts of the M & M analysis. This report is based on testing the hypothesis on colors of M & M candies.