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A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At a = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 OD. Ho: μ>83,000 H₂:μ≤83,000 92,111 93,702 94,918 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: 283,000 H₂H<83,000 94,559 75,990 70,455 97,281 92,991 85,099 OB. Ho: μ=83,000 H₂:μ#83,000 E. Ho: ≤83,000 H₂:μ>83,000 (b) Identify the standardized test statistic. z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 83000 (Round to three decimal places as needed.) 92,720 87,943 92.455 92,975 95,640 99,029 93,895 83,864 70,547 OC. Ho: μ#83,000 H₂: H=83,000 OF. Ho: >83,000 H₂:μ$83,000 72,826 85,388 87,528 86,979 91,704 70,712

A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At a = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 OD. Ho: μ>83,000 H₂:μ≤83,000 92,111 93,702 94,918 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: 283,000 H₂H<83,000 94,559 75,990 70,455 97,281 92,991 85,099 OB. Ho: μ=83,000 H₂:μ#83,000 E. Ho: ≤83,000 H₂:μ>83,000 (b) Identify the standardized test statistic. z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 83000 (Round to three decimal places as needed.) 92,720 87,943 92.455 92,975 95,640 99,029 93,895 83,864 70,547 OC. Ho: μ#83,000 H₂: H=83,000 OF. Ho: >83,000 H₂:μ$83,000 72,826 85,388 87,528 86,979 91,704 70,712

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
Section10.3: Measures Of Spread
Problem 26PFA
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A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 A. Ho: μ ≥ 83,000 Ha: μ< 83,000 86,678 81,200 92,078 (a) Identify the null hypothesis and alternative hypothesis. D. Ho: μ>83,000 H₂:μ≤ 83,000 92,111 93,702 94,918 (b) Identify the standardized test statistic. 94,559 75,990 70,455 97,281 92,991 85,099 B. Ho: μ = 83,000 Ha: μ#83,000 E. Ho: μ≤83,000 Ha: μ> 83,000 z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 83000 (Round to three decimal places as needed.) 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 C. Ho: μ#83,000 Ha: μ = 83,000 OF. Ho: μ> 83,000 H₂:μ≤ 83,000 72,826 85,388 87,528 86,979 91,704 70,712
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 A. Ho: μ ≥ 83,000 Ha: μ< 83,000 86,678 81,200 92,078 (a) Identify the null hypothesis and alternative hypothesis. D. Ho: μ>83,000 H₂:μ≤ 83,000 92,111 93,702 94,918 (b) Identify the standardized test statistic. 94,559 75,990 70,455 97,281 92,991 85,099 B. Ho: μ = 83,000 Ha: μ#83,000 E. Ho: μ≤83,000 Ha: μ> 83,000 z = 1.91 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. 83000 (Round to three decimal places as needed.) 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 C. Ho: μ#83,000 Ha: μ = 83,000 OF. Ho: μ> 83,000 H₂:μ≤ 83,000 72,826 85,388 87,528 86,979 91,704 70,712
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