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Chapter 11: Q.1.2 (page 681)

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.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Explanation

The expected values could be calculated by

Blue46(0.23)=10.58

Orange46(0.23)=10.59
Green46(0.15)=6.9
Yellow
46(0.15)=6.9
Red46(0.12)=5.52
Brown
46(0.12)=5.52

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