Question

The verbal subtest of the GRE has a population mean of 500 and a population standard deviation of 100 by design (the quantitative subtest has the same mean and standard deviation).
a. Convert the following z scores to raw scores without using a formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.
b. Now convert the same z scores to raw scores using symbolic notation and the formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.

Answer 1

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

What is z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where x = raw score, μ = mean and σ = standard deviation.

Given that σ = 100, μ = 500, hence:

a) For z = 1.5:

1.5 = (x - 500)/100

x = 650

b) For z = -0.5:

-0.5 = (x - 500)/100

x = 450

c) For z = -2:

-2 = (x - 500)/100

x = 300

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

Find out more on z score at: https://brainly.com/question/25638875