Question

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 $9400. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.04 is there enough evidence to support the claim? Use technology 83,077 72,906 94,387 89,800 73,672 78,747 90,948 91,023 95 473 70,501 90,938 90,296 82,814 91,958 86,412 78,050 80,610 85.445 90,674 92,211 (a) Identify the null hypothesis and alternative hypothesis OA. HO: >83.000 Ha H 83,000 O D. Ho: H 83,000 H H> 83,000 ОВ, НО:p>83,000 Ha H 83,000 OE. H0: #83.000 Ha 83,000 ОС. НО:p283,000 на: 83,000 OF. Но, Џ-83.000 Ha.. # 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 1-1 (Round to three decimal places as needed.)

please round to THREE decimal places as needed

Answer 1