Aschool had decided to hire a new vice principal. a recent issue of the nea magazine stated that the average vice principal salary for a school of similar size is $60,000. at the request of the board of education, the principal conducts his own survey of vice principal's salaries. his survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. perform a hypothesis test at a 5% significance level to test the magazine's claim.