Question: (12) A simple random sample of 40 salaries of college football coaches has a mean of $478,953. The standard deviation of all salaries of college football coaches is $93,550. A sports reporter claims that the mean salary of a college football coach is less than $500,000. Conduct a hypothesis test to test the reporter's claim at the 0.05 level of significance. Support any work with the appropriate formula or calculator command.

Clearly show all the steps

Statements of hypotheses with correct symbols (2);

Calculated value of the test statistic (3)

P-value of the test OR critical value of the test statistic (2) Decision (3)

Interpretation in the context of the problem (2)