Question
7. Standardized distributions Aa Aa You are doing research with people who are homeless. You want to be able to identify those who are depressed so that you can refer them to treatment. You use a depression-screening tool called the Beck Depression Inventory (BDI), created by Dr. Aaron T. Beck. It is a widely used 21-item multiple-choice self-report inventory. Higher scores indicate higher levels of depression. Because being homeless is stressful, you decide to use z-scores so that you can identify those people who are at least one standard deviation more depressed than the typical person who is homeless. Based on the testing of 50 people, the average score on the BDI in your sample is 14 with a standard deviation of 2. The table that follows consists of the scores of five people that you tested who sleep in the same alcove at a shelter Use the dropdown menus to complete the third column of the table by selecting the z-score relative to your sample that corresponds to the participants' BDI score BDI BDI BDI T-score Participant Original Score z-score Location Standardized Score 16 18 16.5 15 15.5 +1.00 60 70 +1.25 5 +0.75 You are findina that the neaative values and decimals of z-scores are difficult to explain to vour staff. so vou decide 48 0 561.91 ASK1085 DOLL
Explanation / Answer
The calculated Table is given below
Z- score = (X - )/
StandardtiZed T - score = 50 + Z
Particpant BDI(Original Score) BDI(Z - score) BDS (T- Score) 1 16 1 60 2 18 2 70 3 16.5 1.25 62.5 4 15 0.5 55 5 15.5 0.75 57.5