O A. Ho u=83,000 H u+83,000 O B. Ho u83,000 H = 83,000 OC. Ho u> 83,000 H us 83,000 OF. H, u>83,000 O D. H u2 83,000 H p 83,000 O E. H, us83,000 H u> 83,000 H us83,000 (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 O B. Fail to reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national O A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the mean. national mean

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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 $9700. 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
78,144
77 201
78,298
75,000
89,847
72,825
96,405
70,366
77,866
82,666
99,588
72,476
71,099
79,973
87,073
83,669
89,870
74,446
97,272
91,564
91,003
95,092
73,848
71,330
80 462
93,896
97,026
99,354
88,105
70,275
(a) Identify the null hypothesis and alternative hypothesis
O A. Ho u=83,000
H u83,000
O B. Ho. u 83,000
Hp=83,000
OC. Ho u> 83,000
H, us 83,000
OF. Ho >83,000
H us 83,000
O E. H us 83,000
O D. Ho u2 83,000
H u< 83,000
H>83,000
(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.
O B. Fail to reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national
O A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the
mean
national mean.
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 $9700. 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 78,144 77 201 78,298 75,000 89,847 72,825 96,405 70,366 77,866 82,666 99,588 72,476 71,099 79,973 87,073 83,669 89,870 74,446 97,272 91,564 91,003 95,092 73,848 71,330 80 462 93,896 97,026 99,354 88,105 70,275 (a) Identify the null hypothesis and alternative hypothesis O A. Ho u=83,000 H u83,000 O B. Ho. u 83,000 Hp=83,000 OC. Ho u> 83,000 H, us 83,000 OF. Ho >83,000 H us 83,000 O E. H us 83,000 O D. Ho u2 83,000 H u< 83,000 H>83,000 (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. O B. Fail to reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national O A. Fail to reject Ho. There is not sufficient evidence to support the claim that managers mean salary is more than the mean national mean.
(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.
O A. Fail to reject Hg. There is not sufficient evidence to support the claim that managers mean salary is more than the
OB. Fail to reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national
national mean
mean
O C. Reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national mean. O D. Reject Ho There is not sufficient evidence to support the claim that managers mean salary is more than the national
Click to select your answer(s).
Transcribed Image Text:(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. O A. Fail to reject Hg. There is not sufficient evidence to support the claim that managers mean salary is more than the OB. Fail to reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national national mean mean O C. Reject Ho There is sufficient evidence to support the claim that managers mean salary is more than the national mean. O D. Reject Ho There is not sufficient evidence to support the claim that managers mean salary is more than the national Click to select your answer(s).
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