Abstract The purpose of this paper is to provide a written report of the five part M&M project. Part one was sampling. We were to purchase 3 bags of M&M and record the color counts of each bag in an Excel spread sheet. For part two we calculated the sample proportions for each color, the mean number of candies per1.69oz bag, created a histogram for the number of candies per bag, use Excel to compute the descriptive statistics for the total number of candies per bag and summarize the information. In part three we located the 95% confidence interval for the proportion of blue, orange, green, yellow, red and brown. For part four we tested claims for percentages of each color. In the final part of the project we tested the hypothesis …show more content…
The results are as follows:
Sample proportions: blue=.2366, orange= .2099, green= .1702, yellow= .1428, red= .1156, brown= .1249; the histogram is skewed left
Mean= 55.5667; standard deviation= 2.0003; total # of candies=5001; # of bags= 90
The standard deviation indicates that the difference between the actual number of M&Ms per bag and the mean number of M&Ms per bag is 2.0003.
Part 3: Method, Analysis, Results The objective of this part of the project is was to construct a 95% confidence interval for the proportions of blue, orange, green, yellow, red and brown m&ms. The results were:
Blue (.22477, .24833) Orange (.19867, .22125) Green (.15975, .18058) Yellow (.13308, .15247) Red (.10672, .12444) Brown (.11581, .13414) Mean (55.153338, 55.979862 Bonus 438
Part 4: Method, Analysis, Results For this portion we were to tests Masterfoods’ claims about which proportion of colors the greatest number of people found attractive.
Blue; H0: p=.24 claim, H1: p[pic] .24; Z= -.5630, Fail to reject
There is insufficient evidence to suggest the true proportion is not .24.
Orange; H0: p=.20 claim, H1: p[pic].20; Z= 1.75; Fail to reject
There is insufficient evidence to suggest the true proportion is not .20.
Green; H0: p=.16 claim, H1: p[pic] .16; Z= 1.9676; reject
There is sufficient evidence to suggest the true proportion is not .16.
Yellow; H0: p=.14 claim, H1: p[pic] .14;
3 pts. Test their claim that the true proportion of yellow M&Ms® candies is 0.14 at the 0.05 significance level.
3. In one elementary school, 200 students are tested on the subject of Math and English. The table below shows the mean and standard deviation for each subject.
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.
This activity is to teach participants how to understand what their food label means. This activity will be a part of the “Are you smarter than a Food Label”. Participants who take part in learning about how they can better understand their food label and will be given a goodie bag which consist of a granola bar, bottle water, Crystal Light and pencil, while supplies last. Copies of “The Nutrition Fact Label” will be available on the table. This activity will be used to draw participants into taking part of the “Are you Smarter than a Food Label”
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.
In order to obtain a random sample, three bags of M&Ms were purchased from different locations. Each bag of M&Ms was a 1.69oz bag that was the standard plain version of the candy. The M&Ms were then sorted by color and this data was collected and compiled. These results were also added to a larger sample
The following statistics stated in the case indicate that “23% of respondents would definitely buy the Montreaux dark chocolate with fruit product and 40% would probably buy the product.” These average ratings strongly suggest that this product should be introduced into the market very gradually. This strategy would enable the company to evaluate consumer buying patterns so that the company could determine future production levels and future marketing strategies that benefit both the company and the consumer. Financial information given in the case also indicates that the company needs to introduce this product very conservatively. Exhibit 1 informs that with 5.98 million total purchases, low awareness, low ACV and mediocre product, Montreaux would gross $17.44 million. Exhibit 2 shows that with medium awareness, medium ACV and an average product Montreaux would gross $25.1 million. These figures do not meet Montreaux’s objective of earning at least $30 million in its first year. Exhibit 3 shows a slightly improved situation: with high awareness, high ACV, and an excellent product, Montreaux would gross
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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.
The hypothesis was that the majority of males would prefer blue, while females were evenly distributed between
There were three hypotheses of the experiment. The first was, “we expect that demographic factors will predict the importance of taste, nutrition, cost, convenience, and weight control to individual persons”. This means that they (the scientist involved) believed that the personal characteristics (age, gender, income, and race) will affect the flavor of food, benefits
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
At the conclusion of this paper, (through a contrast process) the reader, will be readily able to view that although these foods often appear similar in grocery stores, they have different health effects from consumption, the regulatory control (labeling) is very different for these two products, and the way these products are grown and produced varies widely from one another.
This report will cover the background understanding about the confectionery industry and do an in-depth analysis of the micro and macro environment. In addition, the market segmentation, market positioning and target market that Whittaker’s is concerned with is also discussed.
Understanding factors influencing food choices of consumers from various cultures is a profound aspect in product development. Individuals’ preferences for sensory characteristics in food; such as texture, taste and odour are suggested to be a very complex aspect. Other non-sensory factors can also affect consumers food choices, such as the individuals past exposure to the food, price, their expectation and attitudes, ethical concerns and health claims of the food. These factors may largely affect consumers evaluation of products and should be considered when analysing the data.