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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 $8000. The salaries (in dollars) f a random sample of 30 managers in the state are listed. At a=0.1, is there enough evidence to support the claim? Use technology. 90,827 96,185 99,620 90,774 84,911 83,312 72,527 97,676 85,856 95,136 84,543 96,633 72,016 79,926 93,638 89,896 87,589 72,065 84,307 98,998 94,614 92,311 95,705 98,258 87,309 97,143 90,864 78,115 99,600 84,764 www (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: >85,000 O B. Ho: μ≤85,000 Ha: μ ≤ 85,000 Ha: μ> 85,000 D. Ho: μ>85,000 Ha: ≤85,000 O E. Ho μ#85,000 Ha: H=85,000 OC. Ho: 285,000 Ha μ < 85,000 F. H: H=85,000 Ha: μ#85,000 ←

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 $8000. The salaries (in dollars) f a random sample of 30 managers in the state are listed. At a=0.1, is there enough evidence to support the claim? Use technology. 90,827 96,185 99,620 90,774 84,911 83,312 72,527 97,676 85,856 95,136 84,543 96,633 72,016 79,926 93,638 89,896 87,589 72,065 84,307 98,998 94,614 92,311 95,705 98,258 87,309 97,143 90,864 78,115 99,600 84,764 www (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: >85,000 O B. Ho: μ≤85,000 Ha: μ ≤ 85,000 Ha: μ> 85,000 D. Ho: μ>85,000 Ha: ≤85,000 O E. Ho μ#85,000 Ha: H=85,000 OC. Ho: 285,000 Ha μ < 85,000 F. H: H=85,000 Ha: μ#85,000 ←

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, $85,000. Assume the the population is normally distributed and the population standard deviation is $8000. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.1, is there enough evidence to support the claim? Use technology. 99,620 90,774 90,827 96,185 84,911 83,312 93,638 72,016 79,926 92,311 95,705 98,258 78,115 99,600 84,543 98,998 96,633 94,614 D. Ho: μ> 85,000 Ha: μ≤ 85,000 *** (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ>85,000 O B. Ho: μ≤85,000 Ha: μ≤ 85,000 Ha: μ> 85,000 O E. Ho: μ#85,000 Ha: H=85,000 72,527 85,856 97,676 89,896 87,589 72,065 87,309 97,143 90,864 OC. Ho: 285,000 Ha: μ< 85,000 95,136 84,307 84,764 F. H₂ μ = 85,000 Ha: μ#85,000
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 $8000. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.1, is there enough evidence to support the claim? Use technology. 99,620 90,774 90,827 96,185 84,911 83,312 93,638 72,016 79,926 92,311 95,705 98,258 78,115 99,600 84,543 98,998 96,633 94,614 D. Ho: μ> 85,000 Ha: μ≤ 85,000 *** (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ>85,000 O B. Ho: μ≤85,000 Ha: μ≤ 85,000 Ha: μ> 85,000 O E. Ho: μ#85,000 Ha: H=85,000 72,527 85,856 97,676 89,896 87,589 72,065 87,309 97,143 90,864 OC. Ho: 285,000 Ha: μ< 85,000 95,136 84,307 84,764 F. H₂ μ = 85,000 Ha: μ#85,000
(b) Identify the standardized test statistic. 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. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. OB. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. O C. Fail to reject Ho. There is sufficient evidence to O D. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean support the claim that managers mean salary is more than the national mean.
Transcribed Image Text:(b) Identify the standardized test statistic. 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. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. OB. Reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. O C. Fail to reject Ho. There is sufficient evidence to O D. Reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean support the claim that managers mean salary is more than the national mean.
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