Explanation Given: Disease Brown Yellow Red Blue Orange Green Deaths 12 % 15 % 12 % 23 % 23 % 15 % n 1 = 70 n 2 = 87 n 3 = 64 n 4 = 115 n 5 = 106 n 5 = 85 k = 6 Formula Used: The degrees of freedom are expressed as: d f = k − 1 The observed value is expressed as: X 2 = ∑ ( O i − E i ) 2 E i Calculation: Consider: Probability of M&M’s containing brown candies p 1 . Probability of M&M’s containing yellow candies p 2 . Probability of M&M’s containing red candies p 3 . Probability of M&M’s containing blue candies p 4 . Probability of M&M’s containing orange candies p 5 . Probability of M&M’s containing green candies p 6 . The null hypothesis is H 0 : p 1 = 0.12 , p 2 = 0.15 , p 3 = 0.12 , p 4 = 0.23 , p 5 = 0.23 , p 6 = 0.15 The alternative hypothesis H a : at least one probability of above six probabilities which may vary from the certain probability. Total number count: n = 70 + 87 + 64 + 115 + 106 + 85 n = 527 The expected count is calculated as: For i = 1 , E 1 = n p 1 E 1 = 527 × 0.12 E 1 = 63.24 For i = 2 , E 2 = n p 2 E 2 = 527 × 0.12 E 2 = 79.05 For i = 3 , E 3 = n p 3 E 3 = 527 × 0

Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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Chapter 14.3, Problem 14.14E

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The provided data is sufficient or not to support the percentage reported by Mars, incorporated.

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Chapter 14 Solutions

Introduction to Probability and Statistics

Ch. 14.3 - Prob. 14.2E Ch. 14.3 - Prob. 14.3E Ch. 14.3 - Prob. 14.4E Ch. 14.3 - Suppose that a response can fall into one of k=5...Ch. 14.3 - Prob. 14.6E Ch. 14.3 - Prob. 14.7E Ch. 14.3 - Prob. 14.9E Ch. 14.3 - Mortality Statistics Medical statistics show that...Ch. 14.3 - Prob. 14.13E Ch. 14.3 - Prob. 14.14E

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?

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The provided data is sufficient or not to support the percentage reported by Mars, incorporated.

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The provided data is sufficient or not to support the percentage reported by Mars, incorporated.

Chapter 14 Solutions