Instructor: Professor Heather Booth
MAT 300 Elementary Statistics
March 10, 2013
* INTRODUCTION: PURPOSE OF REPORT
The purpose of this report is to examine the packaging process of M & M candies for a 1.69oz bag. This process is achieved by way of using random sampling to gather data on the number of colored M&M candies (blue, orange, green, yellow, red, brown,) as well as testing the sample proportion / sample mean, and constructing a 95% confidence interval. This report should provide a better understanding as to the methods used behind packing M&M candies. * PROJECT PART I: SAMPLING METHOD
The sampling method is the scientific procedure of selecting those sampling units which would provide the required estimates with associated margins of uncertainty, arising from examining only a part and not the whole. There are several types of sampling, however for this particular project we used random sampling in which each item of the data) has the same probability of being selected in the sample. In order to achieve true raw data, three bags of 1.69oz M & M candies were purchased from three different stores. The data from these bags were collected and placed into an excel worksheet to create a single data set (see below). This information was then entered into an excel spreadsheet and separated by individual bags.
* PROJECT PART 2: METHOD, ANALYSIS, RESULTS
In this area we combined all collected data, and placed into an excel worksheet. During this process we were able to collect all necessary information to distinguish the sample mean and sample proportion for each colored candy as well as for the total number of candies collected. After all of the information was collected and computed, a frequency histogram was then created (see below) which allowed one to identify any patterns within the data set. A frequency histogram is a bar graph that represents...