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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

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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 $9200. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At a=0.03, is there enough evidence to support the claim? Use technology. 77,676 77,134 71,220 83,958 74,863 72,291 92,973 72,673 76,249 89,501 79,330 95,357 91,154 70,053 75,969 84,275 95,631 97,368 73,233 78,968 92,240 92,327 78,950- 96,961 77,703 86,053 70,670 96,758 72,501 93,241 (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: 80,000 H: H 80,000 E. Ho: H>80,000 H: 80,000 OF. Ho: >80,000 Ha: 80,000 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.)

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