The average salary for a ran(4 points) The average salary for a random sample of 49 new (less than 3 years) professors in psychology graduate departments in 2012 was $90,000. The population, all professors with all years of experience in psychology graduate departments across the country, earned an average salary of $110,960, with a standard deviation of $39,295. Using this information, compute the 95% confidence interval for new professors. a. (2) What is the confidence interval? b. (2) How would you use this confidence interval to conduct the hypothesis test? That is, describe how you would reach the same conclusion by using the confidence interval instead of comparing the test statistic to the critical value.dom sample of 49 new (less than 3 years) professors in psychology comparing the test statistic to the critical value