Explanation Given info: The tables give the theoretical distribution reported by M$Ms and M&Ms/Mars consumer affairs. Calculation: The claim is to test whether the data provide sufficient evidence to conclude that the color distribution of M&Ms is different from that reported by M&Ms/Mars consumer affairs. If the claim is rejected, then the color distribution of M&Ms is same as that reported by M&Ms/Mars consumer affairs. The test hypotheses are given below: Null hypothesis: H 0 : The color distribution of M&Ms is same as that reported by M&Ms/Mars consumer affairs. Alternative hypothesis: H 1 : The color distribution of M&Ms is different from that reported by M&Ms/Mars consumer affairs. The expected frequencies can be obtained as follows: E = n p Where, n = 152 + 114 + 106 + 51 + 43 + 43 = 509 The probabilities corresponding to brown, yellow, red, orange, green and blue colors can be obtained as follows: p 1 = Percentage of brown color Total percentage = 30 100 = 0.30 p 2 = p 3 = 0.20 And P 4 = P 5 = P 6 = 0.10 The expected values are obtained below: Distribution Frequency Expected frequency 0.3 152 E ^ 1 = n p 1 = ( 509 ) ( 0.3 ) = 152.7 0.2 114 E ^ 2 = n p 2 = ( 509 ) ( 0.2 ) = 101

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 13.2, Problem 27E

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To test: Whether the data provide sufficient evidence to conclude that The color distribution of M&Ms is different from that reported by M&Ms/Mars consumer affairs.

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Chapter 13.2, Problem 26E

Chapter 13.2, Problem 28E

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To test: Whether the data provide sufficient evidence to conclude that The color distribution of M&amp;Ms is different from that reported by M&amp;Ms/Mars consumer affairs.

Solution Summary: The author analyzes whether the data provide sufficient evidence to conclude that the color distribution is different from that reported by M&Ms/Mars consumer affairs.

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To test: Whether the data provide sufficient evidence to conclude that The color distribution of M&Ms is different from that reported by M&Ms/Mars consumer affairs.

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Chapter 13 Solutions

To test: Whether the data provide sufficient evidence to conclude that The color distribution of M&Ms is different from that reported by M&Ms/Mars consumer affairs.