A politician claims that the mean salary for managers in his state is more than the national mean, $84,000. Assume the the population is normally distributed and the population standard deviation is $7700. The salaries (in dollars) for a rando managers in the state are listed. At a=0.01, is there enough evidence to support the claim? Use technology. 85,753 74,771 80,874 89,459 95,542 87,349 83,781 88,302 93,679 77,478 82,344 90,606 85,484 85,416 78,102 89,432 95,180 73,518 88,662 72 91,146 80,279 71 93,786 91,229 71,775 77,218 96,253 77,709 74 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho:=84,000 H 7 84,000 O B. Ho: >84,000 Hus 84,000 OE Ho: u284,000 HH<84,000 C. Họ: Hs 84,000 H:u>84,000 OD. Ho: 84,000 OF. Ho: u>84,000 H: p= 84,000 H: us 84,000 b) Identify the standardized test statistic. %3D Round the final answer to two places as needed. Round all intermediate values to three places as needed.)

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A politician claims that the mean salary for managers in his state is more than the national mean, $84,000. Assume the the population is normally distributed and the population standard deviation is $7700. The salaries (in dollars) for a random sample of 30
managers in the state are listed. At a = 0.01, is there enough evidence to support the claim? Use technology.
80,874
89,459
95,542
87,349
83,781
88,302
85,753
93,786
91,229
90,606
91,146
80,279
93,679
77,478
82,344
85,484
96,253
77,709
74,771
71,775
77,218
85,416
78,102
89,432
95,180
73,518
88,662
72,601
71,633
74,338
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: H = 84,000
Ο Β. Ho: μ> 84,000
Ha:Hs 84,000
CC. Ho: us 84,000
Ha: u>84,000
Ha:H#84,000
O D. Ho: H 84,000
O E. Ho: H284,000
Ha:H< 84,000
O F. Ho: H>84,000
Ha: µ = 84,000
Ha: H5 84,000
(b) Identify the standardized test statistic.
(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $84,000. Assume the the population is normally distributed and the population standard deviation is $7700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At a = 0.01, is there enough evidence to support the claim? Use technology. 80,874 89,459 95,542 87,349 83,781 88,302 85,753 93,786 91,229 90,606 91,146 80,279 93,679 77,478 82,344 85,484 96,253 77,709 74,771 71,775 77,218 85,416 78,102 89,432 95,180 73,518 88,662 72,601 71,633 74,338 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H = 84,000 Ο Β. Ho: μ> 84,000 Ha:Hs 84,000 CC. Ho: us 84,000 Ha: u>84,000 Ha:H#84,000 O D. Ho: H 84,000 O E. Ho: H284,000 Ha:H< 84,000 O F. Ho: H>84,000 Ha: µ = 84,000 Ha: H5 84,000 (b) Identify the standardized test statistic. (Round the final answer to two places as needed. Round all intermediate values to three places as needed.)
b) Find the P-value. Use technology.
(Round to three decimal places as needed.)
c) Decide whether to reject or fail to reject the null hypothesis.
OA. Reject Hg. There is not sufficient evidence to support the claim that managers mean salary is
OB. Fail to reject H. There is not sufficient evidence to support the claim that managers mean
salary is more than the national mean.
more than the national mean.
OC. Reject Hg. There is sufficient evidence to support the claim that managers mean salary is more O D. Fail to reject Hg. There is sufficient evidence to support the claim that managers mean salary is
than the national mean.
more than the national mean.
Transcribed Image Text:b) Find the P-value. Use technology. (Round to three decimal places as needed.) c) Decide whether to reject or fail to reject the null hypothesis. OA. Reject Hg. There is not sufficient evidence to support the claim that managers mean salary is OB. Fail to reject H. There is not sufficient evidence to support the claim that managers mean salary is more than the national mean. more than the national mean. OC. Reject Hg. There is sufficient evidence to support the claim that managers mean salary is more O D. Fail to reject Hg. There is sufficient evidence to support the claim that managers mean salary is than the national mean. more than the national mean.
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