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Chapter 11: Q.1.2 (page 681)

Mars, Inc., reports that their M&M鈥橲 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鈥檚 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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Aspirin prevents blood from clotting and so helps prevent strokes. The Second European Stroke Prevention Study asked whether adding another anticlotting drug named dipyridamole would be more effective for patients who had already had a stroke. Here are the data on strokes during the two years of the study:

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What conclusion would you draw? Justify your answer.

Mars, Inc., reports that their M&M鈥橲 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: 12blue, 7orange,13green, 4yellow, 8red, and 2brown.

State appropriate hypotheses for testing the company鈥檚 claim about the color distribution of peanut M&M鈥�S.

Stress and heart attack You read a newspaper article that describes a study of whether stress management can help reduce heart attacks. The 107subjects all had reduced blood flow to the heart and so were at risk of a heart attack. They were assigned at random to three groups. The article goes on to say: One group took a four-month stress management program, another underwent a four-month exercise program, and the third received usual heart care from their personal physicians. In the next three years, only three of the 33people in the stress management group suffered 鈥渃ardiac events,鈥� defined as a fatal or non-fatal heart attack or a surgical procedure such as a bypass or angioplasty. In the same period, seven of the 34people in the exercise group and 12out of the 40 patients in usual care suffered such events.36

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