24. The College Student Journal (Dec. 1992) investigated differences in traditional and nontraditional students, where nontraditional students are generally defined as those 25 year old or older. Based on the study results, we can assume that the population mean and standard deviation for the GPA of all nontraditional students is # = 3.5 and o =5. Suppose that a random sample of 100 nontraditional students is selected from the population of all nontraditional students that is normally distributed. a. Give the mean and standard deviation of the sampling distribution of X . b. What is the approximate probability that the nontraditional student sample has a mean GPA between 3.40 and 3.65? c. What is the approximate probability that the sample of 100 nontraditional students has a mean GPA that exceeds 3.62? d. How would the sampling distribution of x change if the sample size were 4 times as big