In: Statistics and Probability
The average salary for a random sample of 49 new (less than 3 years) professors in psychology graduate departments in 2012 was $92,000. The population, all professors with all years of experience in psychology graduate departments across the country, earned an average salary of $111,960, with a standard deviation of $40,295. Did the average salary of the new full psychology professors differ from that of all psychology professors as a whole? Conduct the appropriate statistical test to answer this question. Compute the 95% confidence interval for new professors.
a. (3 points) What is the confidence interval?
b. (2 points) How would you use this confidence interval to conduct the hypothesis test that you did for #3? That is, describe how you would reach the same conclusion by using the confidence interval