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A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology. 92,421 81,412 85,143 97,220 99,317 71,884 97,762 86,108 98,385 73,869 81,391 95,997 98,828 86,476 77,893 74,995 90,472 81,330 92,183 94,649 77,880 91,821 90,907 84,640 78,479 81,703 89,573 89,948 70,938 81,300 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: " =85,000 Нa: μ85,000 D. Hoi u >85,000 Нa: μ≤85,000 (b) Identify the standardized test statistic. Z= B. Hoμ≥85,000 Haμ<85,000 O E. Ho: u>85,000 Haμ≤85,000 (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. ○ A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. ○ C. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. C. Hoμ85,000 Haμ=85,000 F. Hoμ≤85,000 Haμ>85,000 B. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. D. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean.

A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology. 92,421 81,412 85,143 97,220 99,317 71,884 97,762 86,108 98,385 73,869 81,391 95,997 98,828 86,476 77,893 74,995 90,472 81,330 92,183 94,649 77,880 91,821 90,907 84,640 78,479 81,703 89,573 89,948 70,938 81,300 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: " =85,000 Нa: μ85,000 D. Hoi u >85,000 Нa: μ≤85,000 (b) Identify the standardized test statistic. Z= B. Hoμ≥85,000 Haμ<85,000 O E. Ho: u>85,000 Haμ≤85,000 (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. ○ A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. ○ C. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. C. Hoμ85,000 Haμ=85,000 F. Hoμ≤85,000 Haμ>85,000 B. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. D. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology. 92,421 81,412 85,143 97,220 99,317 71,884 97,762 86,108 98,385 73,869 81,391 95,997 98,828 86,476 77,893 74,995 90,472 81,330 92,183 94,649 77,880 91,821 90,907 84,640 78,479 81,703 89,573 89,948 70,938 81,300 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: " =85,000 Нa: μ85,000 D. Hoi u >85,000 Нa: μ≤85,000 (b) Identify the standardized test statistic. Z= B. Hoμ≥85,000 Haμ<85,000 O E. Ho: u>85,000 Haμ≤85,000 (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. ○ A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. ○ C. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. C. Hoμ85,000 Haμ=85,000 F. Hoμ≤85,000 Haμ>85,000 B. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. D. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean.
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is $8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology. 92,421 81,412 85,143 97,220 99,317 71,884 97,762 86,108 98,385 73,869 81,391 95,997 98,828 86,476 77,893 74,995 90,472 81,330 92,183 94,649 77,880 91,821 90,907 84,640 78,479 81,703 89,573 89,948 70,938 81,300 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: " =85,000 Нa: μ85,000 D. Hoi u >85,000 Нa: μ≤85,000 (b) Identify the standardized test statistic. Z= B. Hoμ≥85,000 Haμ<85,000 O E. Ho: u>85,000 Haμ≤85,000 (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. ○ A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. ○ C. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. C. Hoμ85,000 Haμ=85,000 F. Hoμ≤85,000 Haμ>85,000 B. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. D. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean.
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