Based on the testing of 50 people, the average score on the BDI in your sample i

Question

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 12 17 16 15.5 13 1.00 40 2 65 +1.00 4 57.5 5 0.50 You are finding that the negative values and decimals of z-scores are difficult to explain to your staff, so you decide to convert the scores to T-scores. T-scores are standardized scores in which a score of 50 represents the mean and 10 indicates one standard deviation. Thus, a score of 60 is one standard deviation above the mean, while a score of 30 is two standard deviations below the mean. Use the dropdown menus to complete the fourth column in the table (Hint: You can always draw a normal curve to help you visualize this transformation.)

Explanation / Answer

as we know that for T score has distribution with mean =50 and std deviaiton =10

while z score has mean =0 and std deviation =1

hence frm above transformation below is the table:

participant original score z-score T-score 1 12 -1 40 2 17 1.5 65 3 16 1 60 4 15.5 0.75 57.5 5 13 -0.5 45

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