M & M Project Paper
M&Ms® Project Report
September 12, 2013
Abstract
This paper will discuss the methods taught in Statistics this past semesters using what is being referred to as the M&M® project. Methods include random sampling, calculating random proportions, mean, standard deviations, creating histograms and identifying their shape such as bell, constructing confidence intervals for proportions and hypothesis testing of the samples. Each section of the M&M® project will demonstrate a lesson that was learned by applying the knowledge from the class to each separate part of the M&M project itself. The paper will conclude by discussing reasons why the results of the samples may have been different than anticipated. …show more content…
Since the results needed to be as random as possible it was important that each class member visited three different stores. The idea of a random sample is one in which every member of population has an equal chance of being selected (Larson/ Farber 2009). Next the M&M®’s needed to be counted by according to color and the data was recorded and combined with the rest of the class to create a full random sample. Below you will find the results from the class data obtained by adding all data together from the entire class from part …show more content…
For example the blue proportions would be 757/3342=0.2265. Next I had to calculate the sample mean by dividing the number of bags by the number total number of candies. From our class data the total candies was 3342 and total number of bags was 60. The total mean calculated to be 3342/60=55.7. I also had to create a histogram which is a bar graph that represents the frequency distribution of a data set (Larson/Farber 2009). The histogram was bell shape which means the data had a normal distribution. In the course of this part I also had to create a descriptive statistics which provided information such as the mean, standard error, standard deviation, sample variance, mode and other useful information that can be used from the data collected. Finally for this part I had to create a summary to include the sample proportions, sample mean, standard deviation, sample size and type of histogram. The histogram, descriptive statistics and summary were all calculated using methods and techniques in excel. The proportions and mean were calculated by hand. Attached is the histogram and
September 12, 2013
Abstract
This paper will discuss the methods taught in Statistics this past semesters using what is being referred to as the M&M® project. Methods include random sampling, calculating random proportions, mean, standard deviations, creating histograms and identifying their shape such as bell, constructing confidence intervals for proportions and hypothesis testing of the samples. Each section of the M&M® project will demonstrate a lesson that was learned by applying the knowledge from the class to each separate part of the M&M project itself. The paper will conclude by discussing reasons why the results of the samples may have been different than anticipated. …show more content…
Since the results needed to be as random as possible it was important that each class member visited three different stores. The idea of a random sample is one in which every member of population has an equal chance of being selected (Larson/ Farber 2009). Next the M&M®’s needed to be counted by according to color and the data was recorded and combined with the rest of the class to create a full random sample. Below you will find the results from the class data obtained by adding all data together from the entire class from part …show more content…
For example the blue proportions would be 757/3342=0.2265. Next I had to calculate the sample mean by dividing the number of bags by the number total number of candies. From our class data the total candies was 3342 and total number of bags was 60. The total mean calculated to be 3342/60=55.7. I also had to create a histogram which is a bar graph that represents the frequency distribution of a data set (Larson/Farber 2009). The histogram was bell shape which means the data had a normal distribution. In the course of this part I also had to create a descriptive statistics which provided information such as the mean, standard error, standard deviation, sample variance, mode and other useful information that can be used from the data collected. Finally for this part I had to create a summary to include the sample proportions, sample mean, standard deviation, sample size and type of histogram. The histogram, descriptive statistics and summary were all calculated using methods and techniques in excel. The proportions and mean were calculated by hand. Attached is the histogram and