Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 27

Basic Computation: Central Limit Theorem Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn.
(a) Describe the
distribution and compute the mean and standard deviation of the distribution.
(b) Find the z value corresponding to
.
(c) Find
.
(d) Interpretation Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19 Explain.