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in an ier chapter, Inc. say ecently yellow candies made up 20% c te M&M's, red another 20%, and oran 10% each. The rest are brown. On his work the day he was writing these exe authors bought a bag of plain M&M' v ones, 23 red, 12 orange, 14 blue, brown. Is this sample consistent with tated proportions? Test an appropriate

in an ier chapter, Inc. say ecently yellow candies made up 20% c te M&M's, red another 20%, and oran 10% each. The rest are brown. On his work the day he was writing these exe authors bought a bag of plain M&M' v ones, 23 red, 12 orange, 14 blue, brown. Is this sample consistent with tated proportions? Test an appropriate

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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14. M&M's As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M's, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exer- cises, one of the authors bought a bag of plain M&M's. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company's stated proportions? Test an appropriate hypothesis and state your conclusion. a) If the M&M's are packaged in the stated propor- tions, how many of each color should the author have expected to get in his bag? b) To see if his bag was unusual, should he test goodness- of-fit, homogeneity, or independence? c) State the hypotheses. d) Check the conditions. e) How many degrees of freedom are there? f) Find x and the P-value. g) State a conclusion.
Transcribed Image Text:14. M&M's As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M's, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exer- cises, one of the authors bought a bag of plain M&M's. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company's stated proportions? Test an appropriate hypothesis and state your conclusion. a) If the M&M's are packaged in the stated propor- tions, how many of each color should the author have expected to get in his bag? b) To see if his bag was unusual, should he test goodness- of-fit, homogeneity, or independence? c) State the hypotheses. d) Check the conditions. e) How many degrees of freedom are there? f) Find x and the P-value. g) State a conclusion.
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