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Show 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 $9100. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α=0.06, is there enough evidence to support the claim? Use technology 77,671 92,619 72,010 98,761 74,412 76,452 94,217 72,780 73,448 99,139 95,334 76,395 89,649 82,326 81,304 78,268 90,060 91,306 98,201 85,136 73,169 84,403 76,952 73,082 76,402 82,456 97,044 89,862 76,380 95,012 (a) Identify the null hypothesis and alternative hypothesis. Ho : μ>80,000 Ha : μ 80,000 Ho : μ 80,000 Ha : μ > 80,000 ○ C. Ho : μ>80,000 Ha : μ 80,000 OF. Ho'μ 80,000 Ha : μ 80,000 O B. Ho: μ-80,000 Ha : 80,000 Ho: μ#80,000 Ha : μ-80,000 A. OD, ○ E. (b) Identify the standardized test statistic. (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. 0 A Reject Ho . There is sufficient evidence to support the claim that managers mean salary ○ C. Reject Ho. There is not sufficient evidence to support the claim that managers mean ○ B. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. is more than the national mean. d D. 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, $80,000. Assume the the population is normally distributed and the population standard deviation is $9100. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α=0.06, is there enough evidence to support the claim? Use technology 77,671 92,619 72,010 98,761 74,412 76,452 94,217 72,780 73,448 99,139 95,334 76,395 89,649 82,326 81,304 78,268 90,060 91,306 98,201 85,136 73,169 84,403 76,952 73,082 76,402 82,456 97,044 89,862 76,380 95,012 (a) Identify the null hypothesis and alternative hypothesis. Ho : μ>80,000 Ha : μ 80,000 Ho : μ 80,000 Ha : μ > 80,000 ○ C. Ho : μ>80,000 Ha : μ 80,000 OF. Ho'μ 80,000 Ha : μ 80,000 O B. Ho: μ-80,000 Ha : 80,000 Ho: μ#80,000 Ha : μ-80,000 A. OD, ○ E. (b) Identify the standardized test statistic. (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. 0 A Reject Ho . There is sufficient evidence to support the claim that managers mean salary ○ C. Reject Ho. There is not sufficient evidence to support the claim that managers mean ○ B. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. Fail to reject Ho. There is sufficient evidence to support the claim that managers mean salary is more than the national mean. is more than the national mean. d D. salary is more than the national mean.
