The annual base salaries for 200 students graduating from a reputable MBA program this year are of interest to those in the admissions office who are responsible for marketing the program to prospective students. These salaries are given in the file P2_74.XLS. 

a. Generate an appropriate histogram for the given distribution of 200 annual salaries. Characterize this distribution. Also, compute the mean and standard deviation of the given salaries. 

b. Repeatedly choose simple random samples of size 3 from the original distribution given in P2_74.XLS. Record the sample mean for each of 500 sampling repetitions and generate an appropriate histogram of the resulting sampling distribution. Characterize this sampling distribution and compute its mean and standard deviation. 

c. Repeatedly choose simple random samples of size 6 from the original distribution given in P2_74.XLS. Record the sample mean for each of 500 sampling repetitions and generate an appropriate histogram of the resulting sampling distribution. Characterize this sampling distribution and compute its mean and standard deviation. 

d. Repeatedly choose simple random samples of size 12 from the original distribution given in P2_74.XLS. Record the sample mean for each of 500 sampling repetitions and generate an appropriate histogram of the resulting sampling distribution. Characterize this sampling distribution and compute its mean and standard deviation. 

e. Explain the changes in your constructed sampling distributions as the sample size was increased from n = 3 to n = 12. In particular, how does the sampling distribution you constructed in part d compare to the original distribution (where n = 1) you described in part a?