#13

13. (8 points) SHOW ALL YOUR WORK!!! A researcher reports that the average salary of assistant professors is more than $42, 000. A sample of 30 assistant professors has a mean salary of $43, 260. At a = 0.05, test the claim that assistant professors earn more than $42, 000 a year. The standard deviation of the population is $5230. a. Identify the null hypothesis, b. Identify Alternative hypothesis, and decide which type of test you will use, c. Find Test statistic, d. Solve with classical method then ,decide to reject or accept Ho e. Solve with P-value method then decide to reject or accept Ho, Use the normal distribution as an approximation of the binomial distribution