A population has a mean of µ = 50 and a standard deviation of σ = 10.

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
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