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# Development of a Test to Measure Depression

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Dr. Zak Case Study
INSTRUCTIONS
Read the following case study. Then, use the information in the case study to answer the accompanying follow-up questions. Although questions 1-2 have short answers, you should prepare a 150 to 200-word response to each of the remaining questions.
CASE STUDY
Dr. Zak developed a test to measure depression. He sampled 100 university students to take his five item test. The group of students was comprised of 30 men and 70 women. In this group, four persons were African American, six persons were Hispanic, and one person was Asian. Zak's Miraculous Test of Depression is printed below:

The mean on this test is 3.5 with a standard deviation of .5.

1. Sally scores 1.5 on this test. How many standard deviations is Sally from the mean? (Show your calculations)

z= x-m / SD
z= 1.5-3.5/.5
z= .-2/.5
z= -0.4

2. Billy scores 5. What is his standard score?
z= x - m/ SD
.5= x-3.5/.5
.5*.5= x-3.5/.5*.5
.25=x-3,5
3.5+.25= x-3.5+3.5
3.75=x
3.75=t-score