The average salary for a random sample of 25 experienced (12 or more years) full professors in psychology graduate departments in 2012 was $125,195, with a standard deviation of $43,036. The population, all full 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 experienced full psychology professors differ from that of all full psychology professors as a whole? Be sure to report the z-statistics, the cut-off values, the decision about the null hypothesis, and a summary of the test as it relates to the context of the problem.