a. Find P(46  x  55) for a random sample size 16 drawn from a normal population with mean   50 and standard deviation

  10.

b. Use a computer to randomly generate 200 samples, each of size 16, from a normal probability distribution with mean

  50 and standard deviation   10.

Calculate the mean, x, for each sample.

c. How many of the sample means in part b have values between 46 and 55? What percentage is that?

d. Compare the answers to parts a and

c, and explain any differences that occurred.