Explanation Given info: Claim: μ 1 ≥ μ 2 Level of significance: α = 0.05 Population statistic: σ 1 = 0.30 and σ 2 = 0.23 Sample statistic: x ¯ 1 = 1.28 , n 1 = 96 and x ¯ 2 = 1.34 , n 2 = 85 Calculation: State the test hypotheses. Null hypothesis: H 0 : μ 1 ≥ μ 2 (Claim) Alternative hypothesis: H 1 : μ 1 < μ 2 Critical value: Here, the test is left tailed test. From the Standard Normal Table, the critical value at α = 0.05 is –1.645. The rejection region for a left -tailed test with α = 0.05 is, z < z 0 ( = − 1.645 )

Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 8, Problem 8.1.5RE

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To test: The claim that μ1≥μ2 .

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To test: The claim that μ 1 ≥ μ 2 .

Solution Summary: The author concludes that there is no enough evidence to reject the claim that mu

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