Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population...

Letx represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance ofx is approximately ?² = 47.1. However, a random sample of 13 colleges and universities in Kansas showed thatx has a sample variances
² = 85.2. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1.