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Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow- up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 City B 7₂ = 50 = $56,400 x2 = $59,500 S₁ = $6,000 $₂ = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use α = 0.05. Haμ₁₂ = 0 О O Ha μ₁ - µ₂ = 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -10.476 × (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0000

Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow- up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 City B 7₂ = 50 = $56,400 x2 = $59,500 S₁ = $6,000 $₂ = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use α = 0.05. Haμ₁₂ = 0 О O Ha μ₁ - µ₂ = 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -10.476 × (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow- up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 City B 7₂ = 50 = $56,400 x2 = $59,500 S₁ = $6,000 $₂ = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use α = 0.05. Haμ₁₂ = 0 О O Ha μ₁ - µ₂ = 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -10.476 × (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0000
Transcribed Image Text:Are nursing salaries in City A lower than those in City B? As reported by a newspaper, salary data show staff nurses in City A earn less than staff nurses in City B. Suppose that in a follow- up study of 40 staff nurses in City A and 50 staff nurses in City B you obtain the following results. City A n₁ = 40 City B 7₂ = 50 = $56,400 x2 = $59,500 S₁ = $6,000 $₂ = $7,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in City A are significantly lower than for those in City B. Use α = 0.05. Haμ₁₂ = 0 О O Ha μ₁ - µ₂ = 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) -10.476 × (c) What is the p-value? (Round your answer to four decimal places.) p-value = 0.0000
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