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 a=0.1, is there enough evidence to support the claim? Use technology. 99,620 90,774 90,827 96,185 84,911 72,016 79,926 92,311 95,705 78,115 84,543 99,600 98,998 96,633 94,614 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: >85,000 Ha: ≤85,000 O D. Ho: >85,000 Ha: ≤85,000 83,312 93,638 98,258 B. Ho: μ≤85,000 Ha: μ>85,000 E. Ho: μ#85,000 Ha: μ = 85,000 72,527 97,676 87,589 97.143 89,896 87,309 85,856 72,065 90,864 OC. Ho: 285,000 Ha: μ< 85,000 OF. Ho: H=85,000 Ha: μ#85.000 95,136 84,307 84,764
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 a=0.1, is there enough evidence to support the claim? Use technology. 99,620 90,774 90,827 96,185 84,911 72,016 79,926 92,311 95,705 78,115 84,543 99,600 98,998 96,633 94,614 (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: >85,000 Ha: ≤85,000 O D. Ho: >85,000 Ha: ≤85,000 83,312 93,638 98,258 B. Ho: μ≤85,000 Ha: μ>85,000 E. Ho: μ#85,000 Ha: μ = 85,000 72,527 97,676 87,589 97.143 89,896 87,309 85,856 72,065 90,864 OC. Ho: 285,000 Ha: μ< 85,000 OF. Ho: H=85,000 Ha: μ#85.000 95,136 84,307 84,764
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Both pictures are a question, just the continuation on the 2nd picture. Thanks.
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.
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
72,016
79,926
93,638
96,633
78,115 84,543
99,600 98,998 94,614 92,311
95,705
98,258
***
(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
D. Ho: 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: μ ≥85,000
Ha: μ< 85,000
95,136
84,307
84,764
F. H₂ μ = 85,000
Ha: μ#85,000
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