M&M Project Report

5. In HANESS, the men age 18 and over had an average height of 69 inches and an SD of 3 inches. The histograms is show below, with a normal curve. The percentage of men with heights between 66 inches and 72 inches is exactly equal to the area between (a) and (b) under (c). This percentage is approximately equal to the area between (d) and (e) under the (f). Fill in the blanks.

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.

·  How were measures of central tendency used in the study? Did the study use the most appropriate measure of central tendency for the given data? Why or why not?

5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?

Topics Distribution of the sample mean. Central Limit Theorem. Confidence intervals for a population mean. Confidence intervals for a population proportion. Sample size for a given confidence level and margin of error (proportions). Poll articles. Hypotheses tests for a mean, and differences in means (independent and paired samples). Sample size and power of a test. Type I and Type II errors. You will be given a table of normal probabilities. You may wish to be familiar with the follow formulae and their application.

Each brand was counted and recorded on the data sheet. I then took the amount of popped kernels and divided by the total kernels in each bag. After collecting the data from all three bags of each brand, I totaled all the popped kernels and divided by the total kernels overall for each brand which gave me the following results.

Short Answer Writing Assignment – Both the calculated binomial probabilities and the descriptive statistics from the class database will be used to answer the following questions.

The following Histogram shows that the distribution is approximately symmetrical about the mean, or bell-shaped. Therefore, using the Empirical Rule, I concluded that 47.5% of the lbs. of milk produced per month fell between 2270.5 lbs. and 964.10 lbs. This accounts for a very large portion of the total milk produced; as 68% fell within 1 standard deviation of 653.20 of the mean, and 95% fell within 2 standard deviations of the mean.

Candy is not yet a “mature” industry in the United States. The compound annual growth rate for candy in the past ten years has been close to 6% a year, a very solid gain in an industry that is supposedly mature. In fact, within the chocolate confectionery subcategory, the United States ranks 11th in the world in per capita consumption and fifth in the world in growth since 1980. Based on current demographics, many analysts believe that there will be further growth for confectioneries. A “baby-boomlet” is on the way, significantly increasing the teenage population. By the time the population bulge peaks in the year 2010, it will top the baby boom in the 1960s in both size and duration. According to government statistics, the percentage of children between the age of 5 and 14 will rise during the 1990s, increasing from 14.2 percent of the population in the 1990 to 14.5 percent in the year 2000. This trend will serve as a strong foundation for increasing consumption of confectionery products through the end of the century. Nevertheless, spending for food and drink as a percentage of all personal consumption is declining in the United States, and most manufacturers recognize that future opportunities lie in using profits from domestic

Provide the following discussion based on the conclusion of your test: If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.

The customers in this case study have complained that the bottling company provides less than the advertised sixteen ounces of product. They need to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The sample size of sodas is 30 and has a mean of 14.9. The standard deviation is found to be 0.55. With these calculations and a confidence level of 95%, the confidence interval would be 0.2. There is a 95% certainty that the true population mean falls within the range of 14.7 to 15.1.

What is the corresponding amount of chopped walnuts? How about the corresponding amount of maraschino cherries?

This analysis was conducted to investigate various aspects that relate to M&M candies, their production, and quality control. Among the various factors considered, many items have been included such as sample means, critical values, color proportions, standard deviations, and confidence intervals. It is important for any organization to maintain quality control standards in production; especially such an iconic brand as M&Ms (Shu-pei, 2006). Some brands, through ubiquity and repetition, can transform emergent culture into dominant norms (Holt, 2006). M&M has achieved such a status in popular culture and this investigation is intended to provide insights into the production results that have allowed Masterfoods to achieve such a ubiquitous market position.

M&M’s biggest competitor is Hershey’s brand like M&M candies. The competition is fierce among the chocolate industry. Hershey and Mars are rivals and want the opportunity to gain more of the market share. In 1954, Hershey-ettes were introduced to compete against the similar M&M’s. However, they were not successful and are generally only available for consumers around the Holiday season. By the millennium, Hershey extended the popular Hershey Kisses brand in creating the Kissables. Hershey intended for direct competition to M&M small candy coated round tablet of chocolate in multitude of colors. The candy factories started in standard size packs and by the 70’s moved into standard size candy boxes. In the current year and season, you will find M&M’s in candy canes to small snack sizes and inside ornamental objects. The chocolate world becomes difficult to present as it becomes difficult to come up with new ideas in the candy business. As more companies release products similar to the M&M’s, it will become increasingly difficult for Mars to continue to command the level of market share in the chocolate candy industry and the product has a potential to get lost in the supermarket aisle.

M&L Manufacturing makes various components for printers and copiers. The company supplies these items to a major manufacturer. The company also distributes these and similar items to office supply stores and computer stores as replacement parts for printers and desktop copiers. In all, the company manufactures about 20 different items to distribute. The two markets (the major manufacturer and the replacement market) require somewhat different handling. Product for the major manufacturer can be shipped in bulk. However, the products for the retail segment must be packaged individually which requires additional handling and expense. Instead of using forecasting for production planning the operations manager decides which