December 15, 2011
This experimental study will help explain some of the statistical concepts being taught in the classroom as well as show different examples of how these methods can be used. We will be using the 1.69 oz size bag of plain M&M candies which are for the purpose of convenience and affordability. From a larger perspective, we will be exploring the reason why M&M candies are processed and packaged the way they are before arriving at the retailers. The study was conducted by seventeen statistic math students from a small university located in Greensboro, North Carolina. The study consisted usage of 137 bags of M&Ms, which ranged differently in color proportions and totaled with a sum of 7691 pieces of the candy. The conclusion for this study was to show the overall percentage of each color proportion and the total number of candies per bag.
The Packaging Process of the M&M Candy
The purpose of this report is to provide a written report of the five part M&M project. In part one, we focused on sampling whereas each class member purchased a 1.69 oz bag of plain M&Ms randomly from 3 different retailers and recorded the color of each on to an Excel spread sheet. The data was then collected and combined in order to produce one class data set and in part two, we calculated the sample proportions of each color along with producing the mean number candies per 1.69 oz bag. An excel spreadsheet was used to create a histogram for the number of candies per bag and also to compute descriptive statistics, which included data such as sample mean, sample standard deviation, median, mode all for the number of candies per bag as well. In part three, a 95% confidence interval for each color proportion was determined and in part four, claims were tested for percentages of each color proportions. And in the final part of the project, is where a hypothesis was tested to see if the color proportions Red and Brown were equal to one another. The report will explain what was done, present results and provide applicable analysis of what was found. Part 1
Researchers were responsible for collecting three 1.69 oz bags of plain M&M candies from different store locations in order to participate in the study. In order for the results to be meaningful, the candies were randomly selected from each display which assured a true random sample was being produced. It was not necessary to keep track of which bag came from which location. Each researcher opened each one of their M&Ms bag individually and recorded the number of candies of each. A sample of the population of all 1.69 oz bags of plain M&M candy purchased by the students were combined together in order to create one class data set. The combined class data totaled 7691 M&Ms, with a break down as followed: Blue 1587, Orange 1523, Green 1546, Yellow 1075, Red 978, and Brown 982. Part 2
From this point forward, the class focused on the data from two perspectives: what are the color proportions percentages and the number of candies per bag. For the color proportions, the information that was used is the total for each color and the total number of candies sampled and for the number of candies per bag, the class used the data in the number candies in bag column. Each of the sample proportions (p) was calculated and added up for each column.
This is where you will explain what was done, present results and provide applicable analysis of what was found. Part 3
To make sure the sample data are accurate and correct, a confidence interval must be constructed in order to prove that it is. A confidence interval will be constructed for the proportion of each color as well as for the mean number of candies per bag. The margin of error formula is [pic]
[pic] is the sample proportion of the color. It will change for each color. [pic] is found by 1 - [pic], so it will also...