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A simple random sample of 40 salaries of NCAA football coaches in the NCAA has a...

A simple random sample of 40 salaries of NCAA football coaches in the NCAA has a mean of $423,811. The standard deviation of all salaries of NCAA football coaches is $463,364. Test the claim that the mean salary of a football coach in the NCAA is less than $500,000. Use a 0.05 significance level and conduct a full hypothesis test using the six-step process.

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