[#1] Unknown population mean.

Suppose a large manufacturing company is concerned that it offered salaries that were too high during the tight labor market of 2018-2019. The HR department obtained a random sample of 100 employees who were hired during this time period. In the sample, the average employee had a salary of $52,000. Assume you do not know the actual population mean, but you do know that the population standard deviation is equal to $10,000. Using a significance level of 0.05, answer the questions below:

(a) Is there enough evidence to suggest that the average salary exceeded $50,000? Conduct a hypothesis using the test statistic method and interpret your result.

(b) Re-do part (a) using the p-value method.

(c) Is there enough evidence to suggest that the average salary differed from $50,000? Conduct a hypothesis using the test statistic method and interpret your result.

(d) Re-do part (c) using the p-value method.