The mean annual starting salary of college graduates who have completed a three-year diploma is $67,500 with a standard deviation of $3,700. A random sample of 40 graduates is selected. a) Calculate...

Extracted text: The mean annual starting salary of college graduates who have completed a three-year diploma is $67,500 with a standard deviation of $3,700. A random sample of 40 graduates is selected. a) Calculate the mean and standard deviation of this sampling distribution of the sample mean. b) Calculate the probability that the sample mean income is more than $68,250. c) Calculate the probability that the sample mean income is between than $68,000 and $68,500.