Go to the store and purchase a small bag of M&Ms. You will use the actual findings
Question:
Go to the store and purchase a small bag of M&M’s. You will use the actual findings from your purchased product to determine whether or not your selected bag color distribution of product is statistically significant when compared to the M&M’s website product reported percentage. The M&M’s company reports that each bag of M&M’s no matter the size should contain the following percentages of colored candies:
Color | Blue | Brown | Green | Orange | Red | Yellow |
% | 24% | 14% | 16% | 20% | 13% | 14% |
# Bag (50)* | 12 | 7 | 8 | 10 | 6 | 7 |
* If the bag held 50 pieces of candy, this would be the expected number of each color in the bag to meet the reported percentage by Mars Corporation the manufacturers of M&M’s.
Using the percentage information above and the total number of candies found in your purchases bag, calculate the expected amount of candies, and then next to the column place the actual count of the candies. Using the information that you have learned from the book and videos, determine if the actual number of colored candies is statistically significantly different from what the company reports that you should find. Report your work and findings in a well-developed paper that explains the procedures that you followed along with the findings listed as a table using APA guidelines. Place in the appendix a copy of the spreadsheet that you created to determine the statistical significance of your sample.
Next, explain how the use of chi-square and other non-parametric testing is an important way to help determine the significance of research that contains sample sizes too small for parametric testing.
Write an essay addressing each of the above points/questions.