Explanation Calculation: The given information is that the mean gas mileage for a sample of 40 sport utility vehicles is 19.8 mpg and the standard deviation is 3.5 mpg. Here, the claim is that the mean mileage of all SUVs is less than 21.4 mpg. Here, the direction of test is left-tailed. Step 1: State the hypotheses: Null hypothesis: H 0 : μ = 21.4 mpg That is, the mean mileage of all SUVs is 21.4 mpg. Alternative hypothesis: H a : μ < 21.4 mpg That is, the mean mileage of all SUVs is less than 21.4 mpg. Step 2: In the given study, the sample mean is x ¯ = 19.8 , the sample standard deviation is s = 3.5 and the sample size is n = 40 . Assume that σ = s because the sample size is large. Step 3: The formula for standard score is, z = x ¯ − μ σ n Substitute x ¯ = 19.8 , μ = 21.4 , σ = 3.5 and n = 40 in the standard score

Statistical Reasoning for Everyday Life (5th Edition)

5th Edition

ISBN: 9780134494043

Author: Jeff Bennett, William L. Briggs, Mario F. Triola

Publisher: PEARSON

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Chapter 9.2, Problem 41E

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Test the claim that the mean mileage of all SUVs is less than 21.4 mpg.

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Chapter 9.2, Problem 40E

Chapter 9.2, Problem 42E

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Chapter 9 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 9.1 - Hypotheses and Hypothesis Tests. What is a...Ch. 9.1 - Null and Alternative Hypotheses. What is a mill...Ch. 9.1 - Hypothesis Test Outcomes. What are the two...Ch. 9.1 - P-Value. What is a P-value for a hypothesis?Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Significance. The results of my hypothesis test...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...

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Test the claim that the mean mileage of all SUVs is less than 21.4 mpg.

Solution Summary: The author states that there is enough evidence to support the claim that the mean mileage of all SUVs is less than 21.4 mpg

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Test the claim that the mean mileage of all SUVs is less than 21.4 mpg.

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