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A politician claims that the mean salary for managers in his state is more than the national mean, $80,000. Assume the the population is normally distributed and the population standard deviati $9300. 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. 76,237 91,274 88,232 OA. Ho: >80,000 H₂:μ≤80,000 (a) Identify the null hypothesis and alternative hypothesis. O D. Ho: >80,000 Ha: μ$80,000 94,717 72,827 99,709 Z= (b) Identify the standardized test statistic. 87,061 78,925 89,956 77,777 95,825 70,160 90,596 97,871 89,982 OB. Ho: H=80,000 H₂:μ#80,000 O E. Ho: $80,000 H₂:μ>80,000 77,990 96,529 81,656 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) 92,599 70,054 70,739 70,318 76,958 91,527 OC. Ho: 280,000 Ha: μ<80,000 OF. Ho: #80,000 Ha:μ=80,000 82,291 93,621 85,224 80,073 74,028 73,724

A politician claims that the mean salary for managers in his state is more than the national mean, $80,000. Assume the the population is normally distributed and the population standard deviati $9300. 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. 76,237 91,274 88,232 OA. Ho: >80,000 H₂:μ≤80,000 (a) Identify the null hypothesis and alternative hypothesis. O D. Ho: >80,000 Ha: μ$80,000 94,717 72,827 99,709 Z= (b) Identify the standardized test statistic. 87,061 78,925 89,956 77,777 95,825 70,160 90,596 97,871 89,982 OB. Ho: H=80,000 H₂:μ#80,000 O E. Ho: $80,000 H₂:μ>80,000 77,990 96,529 81,656 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) 92,599 70,054 70,739 70,318 76,958 91,527 OC. Ho: 280,000 Ha: μ<80,000 OF. Ho: #80,000 Ha:μ=80,000 82,291 93,621 85,224 80,073 74,028 73,724

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
Section10.4: Distributions Of Data
Problem 19PFA
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A politician claims that the mean salary for managers in his state is more than the national mean, $80,000. Assume the the population is normally distributed and the population standard deviation is $9300. 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. 76,237 91,274 88,232 94,717 72,827 99,709 OD. Ho: >80,000 Ha: μ≤80,000 87,061 78,925 89,956 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: >80,000 H₂:μ≤80,000 77,777 95,825 70,160 90,596 97,871 89,982 OB. Ho: μ= 80,000 Ha: μ#80,000 O E. Ho: s80,000 Ha: μ>80,000 77,990 96,529 81,656 (b) Identify the standardized test statistic. z=0 Z= (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. (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. OC. Fail to reject Hn. There is not sufficient evidence to support the claim that managers 92,599 70,054 70,739 70,318 76,958 91,527 OC. Ho: 280,000 Hg: μ < 80,000 OF. Ho: 80,000 Ha: μ = 80,000 82,291 93,621 85,224 80,073 74,028 73,724 OB. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. OD. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $80,000. Assume the the population is normally distributed and the population standard deviation is $9300. 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. 76,237 91,274 88,232 94,717 72,827 99,709 OD. Ho: >80,000 Ha: μ≤80,000 87,061 78,925 89,956 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: >80,000 H₂:μ≤80,000 77,777 95,825 70,160 90,596 97,871 89,982 OB. Ho: μ= 80,000 Ha: μ#80,000 O E. Ho: s80,000 Ha: μ>80,000 77,990 96,529 81,656 (b) Identify the standardized test statistic. z=0 Z= (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. (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. OC. Fail to reject Hn. There is not sufficient evidence to support the claim that managers 92,599 70,054 70,739 70,318 76,958 91,527 OC. Ho: 280,000 Hg: μ < 80,000 OF. Ho: 80,000 Ha: μ = 80,000 82,291 93,621 85,224 80,073 74,028 73,724 OB. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. OD. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean
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