...M&M Project Math 336 (1) Buy a packet of regular size M&M's. Record the frequency of each color and then transfer this information to a bar chart and a pie chart. (2) Represent the number of M&M's per packet on a histogram using all of the class data. Is your histogram normally distributed? Check using the empirical rule. Also choose your favorite color and draw a histogram of the number of M&M’s of that color per packet based on class data. Draw a box-plot of the total number of data in a packet based on class data. (3) There are numerous hypothesis tests that can be done. Obtain the mean number of M&M's per packet for the whole class. Consider as a null hypothesize that the actual number of M&M's in your packet is the actual number of M&M's per packet as intended by the manufacturers. Test this hypothesis using the sample data from the class. Comment on the difference between a type I and type II error in this context. (NOTE: Be careful in the choice of your sample size.) (4) Test the assumption that on average there are the same proportion of red and yellow M&M’s per packet. (5) Devise a test to see if there are the same number of red M&M’s per packet. (6) Another obvious test would be to test the proportion of colors present. Intuitively, we might expect each color to occur with the same probability p (Null Hypothesis) but a quick inspection of data suggests this is not so. Test this hypothesis. (5) Perhaps the manufacturers do not stick to any...
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...M & M’s Project Erica Warren Strayer University Abstract Over a short time frame of approximately 11 weeks, data was collected and recorded, on the number of candies of each color, within several bags of 1.69 ounces of plain M & M’s. The purpose of this experiment was to examine the packaging process for these plain M & M candies. A random sample on several bags of 1.69 ounces of M & M’s was collected and the population data was produced. The main focus of this project is the color proportions and the number of candies per bag. Calculations were done for the sample proportions, mean, and sample mean of the number of candies per bag. An excel spreadsheet was created to show a histogram for the number of candies as well as a descriptive statistics which summarized other information. Confidence intervals, for the proportion of each color as well as the mean number of candies, were constructed at 95%. Several hypotheses test, along with conclusions was calculated for the color proportions to test Master foods USA statements. The final step was to compare the red and brown candies and test the hypotheses to see if they were equal. This paper will introduce you to the methods that were used and the result for each part of the project. M & M Project With this project, I will be examining the five project parts of an M & M analysis and examine the methods of quality control. Master foods USA states that the color blends were selected by conducting...
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...M Project Report Israel Sharipo September 13, 2013 Abstract This paper shows the true proportions of M&M candies through the random sampling of 3 different bags of plain M&M 1.69oz bag of candy bought from three different stores. I believed one will be able to determine data analysis and how it works as it relates to our class project. Introduction The rationale of writing this paper is to show how statistics data analysis works. Statistics as we learned, is the practice of collecting, organizing, analyzing and interpreting data to make decisions. The two types of data used in the project are sampling and proportions. The methods used can be used by any professional or in any occupation. It can be used to determine the standard deviation, mean of any data among others. Part 1 In part one, each student was asked to take a tally of the 3 bags of candies bought from three different stores. And then we were asked to count the totals of each color in all 3 bags. Part 2 We used the excel data provided to complete the assignment. We looked at the data from two perspectives” color and proportions and the number of candies per bag. For the color proportion; we used the total for each color divided but the total number of candies sampled. As for the number of candies per bag, we use the data in the number candies in bag column. We used the...
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... Background CACI was founded in July of 1962 by two astonishing individuals: Herb Karr, a practical and visionary businessman, and Harry Markowitz, a programming intellect. These entrepreneurs procured an unsupported public domain software language, realized it presented a promising business opportunity and created a company to train and support its users. In a short period of time Herb and Harry went from doing business on a park bench to beginning a successful venture in the nascent computer industry. CACI continued to leverage trends and identify the most promising technologies and markets. In 1970, CACI pioneered easy-to-use database retrieval programs for the Department of Commerce. Leveraging this technology to projects for the departments of Defense and Justice. This solution expanded the development clients enabling CACI to keep both organizations as preeminent sources of business to this day. Following the trend lines, providing expertise and delivering quality client service became benchmarks of CACI’s culture. These ideals continued into the 1980s, when they faced a dramatic change in the federal landscape. As new rules and regulations went into effect hey had to retool their business to succeed and compete. CACI...
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...Assignment: M&M Project Report M&M Project Report Strayer University David Newman Professor Ahmed Rawish March 16, 2012 Assignment: M&M Project Report Table of Contents I. Introduction II. Data Collection III. Data Analysis IV. Conclusion V. References Abstract This paper examines the proportion of M&M candies through the random sampling of 3 bags. After reading this paper one should have a better understanding of the process that accompanies packaging M&M candies. The bags used in the experiments were taken from different stores to help ensure a true sample of all the 1.69 oz of plain M&M candies. I. Introduction 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...
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...Excel Project Report Introduction: This project report is about the project we did on M&Ms. My hypothesis for this project is that bags of equal weight should have the same amount of candies in it. All the colors aren’t represented equally because there are 6 different colors so there must be more of that color in each bag. The color distribution doesn’t remain constant because the little bag will have less candies and the bigger bag will have more candies for each color. Data Collection: This project we are doing is on M&Ms. We opened the mini bags of M&Ms and recorded how many of each color there were and recorded it in the table under bag1. Then we went to 5 other peoples M&Ms and recorded how much M&Ms were there for each color and recorded those under bags 2, 3, 4, 5, and 6. Then I put that information in 3 different graphs. My Table of the Data: Colors Blue Brown Green Orange Red Yellow Total Ba Ba Ba Ba Ba Ba Avera g 1 g 2 g 3 g 4 g 5 g 6 ge 5 0 5 3 0 3 1 6 4 6 4 6 0 0 2 0 3 2 4 5 2 4 2 0 2 4 3 6 2 3 2 0 4 1 5 4 2 1 1 7 4 1 9 3 0 0 1 7 4 2 5 5 1 2 18 Data Analysis: My dat ta reveals that every color r doesn’t have the e same am mount for that co olor there e are all d different. . Only a fe ew bags have the same amoun nt of that t color as the othe er bag. ta shows s that the e average amount of yellow w M&Ms is about 2. My dat The av verage am mount for r Red is 1. The ave erage am mount for r orange is 4. The av...
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...Part 1 First to get started with the project three 1.69 ounce bags of plain M&M’s were purchased from Walgreens, Rite-Aid and Dollar General. These bags will help with taking a sample of the population that is produced. Purchasing the bags from three different stores will help with the results of the project being meaningful because it is assured that the samples will be truly random. Random sampling is when all members of a group have an equal and independent chance of being selected. Next each individual bag of candy was opened and counted. When counting the candies were put into groups based on their color (blue, orange, green, yellow, red and brown) and the results were recorded on a spreadsheet. Once every bag was counted the findings were added up to find the total number of candies within each of the three 1.69 ounce bags of plain M&M’s. The findings were as followed: Bag One had 54 candies, Bag Two had 57 candies and Bag Three had 56 candies. Part 2 For this part of the project all of the data findings from the class were combined into one class data set. The data focused on the color proportions and the number of candies per bag. The information that was used for the color proportions is the total for each color and the total number of candies sampled. The data in the number candies in bag column was used for the number of candies per bag. First the sample proportions for each of the colors were calculated. A sample proportion is the number of individuals in the...
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...Strayer University Math 300 MM Project PT 4 August 14, 2011 Solution: We want to test the following null and alternative hypotheses We need to use the z-statistic, which is calculated using Observe that the sample proportion is This corresponds to a two-tailed z-test for proportions. The z-statistics is computed by the following formula: The critical value for for this two-tailed test is. The rejection region is given by Since, then we reject the null hypothesis H0. Hence, we have enough evidence to reject the claim that the true proportion of blue M&Ms® candies is 0.24. 3 pts. Test their claim that the true proportion of orange M&Ms® candies is 0.20 at the 0.05 significance level. Solution: We are interested in testing the following null and alternative hypotheses We need to use the z-statistic, which is calculated using Observe that the sample proportion is This corresponds to a two-tailed z-test for proportions. The z-statistics is given by the following formula: The critical value for for this two-tailed test is. The rejection region is given by Since, then we reject the null hypothesis H0. Hence, we have enough evidence to reject the claim that the true proportion of orange M&Ms® candies is 0.20. 3 pts. Test their claim that the true proportion of green M&Ms® candies is 0.16 at the 0.05 significance level. Solution: We want...
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...Short Essay Assignment # 2 Summary of #39 The world’s water challenge: Erik R. Peterson and Rachel A. Posner Deborah Phillpotts Professor Beth Stewart SOC300: Sociology of Developing Countries June 12, 2011 Article 39: The World’s Water Challenge: Erik R. Patterson & Rachel Posner Summary of Article This article was about The world’s water challenge. It addressed the dimensions and features that contribute to the world’s water crisis. According to the article “These factors suggest that even at current levels of global population, resource consumption, and economic activity, we may have already passed the threshold of water sustainability” (Griffiths, 2011) . So basically globally we are running out of water. Also the demand for water is so high and there is an insufficient amount of water supply to meet this. The dimensions of that the water challenges will affect include: healthcare, politics, our social lives, the economy, because the water supply is not sufficient and not easily sustained. This article also discussed the changes that are necessary to handle the challenge of shrinking water assets, the changes that I found very useful to implement are first and foremost educating the public about the water crisis, the government investing money into finding means to preserve the water supply we have today. There has to be more precautions taken when it comes to the ecosystems, even though it is inconceivable to maintain the water supply a stand has...
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...Running head: RUNNING HEAD FOR PUBLICATION GOES HERE Title of Your Paper Goes Here Your Name Goes Here Institutional Affiliation Goes Here [ ]Abstract On this page, you write your abstract. The abstract is a brief, comprehensive summary of the contents of your paper. It provides a snapshot of your paper for the reader. Abstracts should be concise, specific and accurate. The length of your abstract should not exceed 120 words. Please note that the abstract is not indented. If your paper does not include an abstract, you can delete this page. To do so, select all of the text on this page and press the “Delete” key. If necessary, press the “Delete” key again to remove the page break completely. APA Headling Level 5 (Heading 1) APA Heading Level 1 (Heading 2) APA Heading Level 2 (Heading 3) APA Heading Level 3 (Heading 4) APA Heading Level 4. (Heading 5) Normal body paragraph Normal body paragraph with no indent Long quote paragraph Long quote paragraph with indent The listing above outlines the style settings that have been made for this document template. Please note that the APA heading number and the Microsoft Word heading number are not the same. This is necessary should the user choose to autogenerate a table of contents. In that event, APA Level 5 must be the first heading level, or else the table of contents will be incorrectly structured. For further explanation, see the APA Publication Manual. Remember that APA Heading Level 4 is the first line of a...
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... Imagine you are a quality control manager at the Masterfoods plant. Write a two to three (2–3) page report on all the parts of the project. Structure your paper using the following headers: o Introduction: Purpose of Report o Project Part 1: Sampling Method o Project Part 2: Method, Analysis, Results o Project Part 3: Method, Analysis, Results o Project Part 4: Method, Analysis, Results o Project Part 5: Method, Analysis, Results o Quality Control: Assume that at least one of the tests from Part 4 was rejected (proportion not equal to targeted amount set by Masterfoods). Discuss how you would investigate the operations of the plant to determine why the proportions were off the targeted values. Speculate on three or more possible conditions in plant and bagging process that could have caused the observed results. o Conclusion You should explain what was done as well as the results. Tables can be used to present results and information. Your audience is a supervisor or manager who is unfamiliar with this project and may or may not be familiar with statistical terms. As a result, you will either need to explain/define statistical terms or write them in a way that a layman can understand. You will be graded on the following criteria: 1. Present the methods, analysis, and results for the five parts of the project. See above Project Parts 1 through 5. 2. Explain how to investigate unexpected results (failed test(s) in Part 4) and speculate on at least three plausible...
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...Successful FDI Brenda’s Fine Furniture is a very successful and becoming a household name around the Unites States and in foreign countries because of the innovative and creative structure that suits families and businesses. The furniture gives customers the ability to be elaborate in small dwellings as well as large ones. Many European countries are impressed with the western styles. It has been determined by this company that it would be beneficial to become global. In order to Brenda’s Fine Furniture can enter the Europe market through FDI. The multinational enterprise can invest directly in the production or other facilities in Europe over which has effective control. Manufacturing FDI requires an establishment of production facilities in Europe. Horizontal FDI approach would be use because the same product (furniture) produce in the U.S. will be produce in Europe. This represents a geographical diversification of the MNE domestic product line. Sharing experiences, resources, and knowledge can be shared to reduce risk and cost. Horizontal FDI enables a MNE to quickly establish its competitive advantage in the host country because a company’s key competencies are more transferable. According to Journal of US-China Public Administration (2010), there are relatively specific advantages within given industries between developed countries are exchanged in horizontal or intra-industry. Most FDI is horizontal. In order for the new MNE furniture to benefit...
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...M&M® Project Report Before your write your report, watch the video titled “mnmunwrapped.wmv” located in the course shell. It is a 3:30-minute video segment from the TV show “Unwrapped,” showing many parts of the production process, which might give you some ideas. Imagine you are a quality control manager at the Masterfoods plant. Write a two to three (2–3) page report on all the parts of the project. Structure your paper using the following headers: • Introduction: Purpose of Report • Project Part 1: Sampling Method • Project Part 2: Method, Analysis, Results • Project Part 3: Method, Analysis, Results • Project Part 4: Method, Analysis, Results • Project Part 5: Method, Analysis, Results • Quality Control: Assume that at least one of the tests from Part 4 was rejected (proportion not equal to targeted amount set by Masterfoods). Discuss how you would investigate the operations of the plant to determine why the proportions were off the targeted values. Speculate on three or more possible conditions in plant and bagging process that could have caused the observed results. • Conclusion: You should explain what was done as well as the results. Tables can be used to present results and information. Your audience is a supervisor or manager who is unfamiliar with this project and may or may not be familiar with statistical terms. As a result, you will either need to explain/define statistical terms or write them in a way that a layman can understand. You...
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...MAT 300 M&Ms® Project Part 3 (21 pts) We will be constructing confidence intervals for the proportion of each color as well as the mean number of candies per bag. You will use the methods of 6.3 for the proportions and 6.1 for the mean. For the Bonus, you will use the sample size formula on page 338. You can use StatCrunch to assist with the calculations. A link for StatCrunch can be found under Tools for Success in Course Home. Here is also a link: http://statcrunch.pearsoncmg.com/statcrunch/larson_les4e/dataset/index.html. You can also find additional help on both confidence intervals and StatCrunch in the Online Math Workshop under Tab: “MAT300 Archived Workshops”. Specifically you will be looking for Confidence Intervals and Using Technology – CI. Submit your answers in Excel, Word or pdf format. Submit your file through the M&M® project link in the weekly course content. If calculating by hand, be sure to keep at least 4-6 decimal places for the sample proportions to eliminate large rounding errors. Answers 3 pts. Construct a 95% Confidence Interval for the proportion of blue M&Ms® candies. 95% Confidence Interval for proportion is given by [pic] where p = x/n = 810/4049 = 0.200049395, [pic]= 1.959963985, n = 4049 Therefore, CI is given by, [pic] = (0.187727588, 0.212371202) Thus with 95% confidence we can claim that the proportion of blue M&Ms® candies is within (18.77%, 21.24%). Details |Confidence Interval Estimate...
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...Strayer University M&M Project Summary Jeanette Willis Mat-300 09/14/2012 Introduction This M&M project was to get students such as myself to get a better understanding on how companies determine how they are going to package their product, market it and disburse among many different markets. The other purpose of this project was to determine statistical data analysis of M&M candies. However to determine what is statistical data analysis we must first try to define the term statistic in the first place. Statistic to me is a set of techniques that are used in collecting, analyzing, presenting, and interpreting data. The statistical method we used helps in a variety of occupations and also helps people to identify study and solve many complex issues in businesses and the entire economic world. It also helps us to understand complex data by make it simple so as to help in decision making processes. In this segment of the project I am performing a statistical analysis on M&M candies based on different colors in different bags, and different statistical methods will be perform during the entire process and based on those. First in order to determine the statistical methods we had to first focus on two perspective color following Blue 0.233, Orange 0.2102, Green 0.168, Yellow 0.1322, Red 0.1382 and Brown 0.1239. The mean for the six colors vary with Blue being the dominant color of 852, follow by orange 770, green, 616...
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