SHSU would like to tost whether there is any difference in salaries for business professors (group 1) and criminal justice professors (group 2). The university randomly selects a sample of 43 business professors and finds their average salary to be $89466. The univers ty also selects a random sample of 59 criminal justice professors and finds their avorage salary is $61206. The population standard doviations are known and equal to $9000 for business profossors, respectively $7500 for criminal justice professors. The university wants to test if there is a difference between the salaries of these 2 groups, using a significance level of 5%. Compule the test staviste needed for performing this test. Round your answer to 2 decimals, if needed.