Using the distribution in Exercise 6.1, calculate z scores for X = 2.5, 6.2, and 9. Interpret these results.

Exercise 6.1

Assuming that the following data represent a population of X values with μ = 4 and σ = 1.58:

X = 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7

a) Plot the distribution as given.

b) Convert the distribution in

(a) to a distribution of X - μ.

c) Go the next step and convert the distribution in

(b) to a distribution of z.