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

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Author:Amos Gilat
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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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