Q.1.2 - The Practice of Statistics for AP

Question

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown. 

Calculate the expected count for each color, assuming that the company’s claim is true. Show your work. 

Step-by-Step Solution

Answer

The expected values are 10.58,10.59,6.9,6.9,5.52and52 respectively

Step 1 Given Information

Given that 

The number of blue, orange, green, yellow, red and brown candies are $12,7,13,4,8$ and 2 respectively. The proportions are $23\%,15\%$ and $12\%$ respectively.

Step 2 Explanation

The expected values could be calculated by

Blue	46(0.23)=10.58
Orange	46(0.23)=10.59
Green	46(0.15)=6.9
Yellow	46(0.15)=6.9
Red	46(0.12)=5.52
Brown	46(0.12)=5.52