10 SHSU would like to test 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 51 business professors and finds their average salary to be $89843. The university also selects a random sample of 54 criminal justice professors and finds their average salary is $62375. The population standard deviations are known and equal to $9000 for business professors, 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%. Compute the test statistic needed for performing this test. Round your answer to 2 decimals, if needed