PSYC Statistical homework

PSYC 2317 Mark W. Tengler, M.S.

Assignment #3

3.1 A population has a mean of µ = 50 and a standard deviation of σ = 10. a. For this population, find the z-score corresponding to each of the

following scores. Plot each point on a graph.

X = 55 X = 40 X = 35

X = 48 X = 70 X = 65

b. For the same population, find the score (X value) corresponding to each of the following z-scores. Plot each Z score on a graph.

Z = -2.00 Z = 1.50 Z = -0.50

Z = 0.60 Z = 1.00 Z = 0.00

3.2 A distribution with a mean of µ = 86 and a standard deviation of σ = 12 is being transformed into a standardized distribution of µ = 100 and σ = 20. Find the new, standardized score for each of the following values from the original population (plot each point on a graph):

a. X = 80 b. X = 89

c. X = 95 d. X = 98