A researcher wants to test the effectiveness of an experimental treatment for de

Question

A researcher wants to test the effectiveness of an experimental treatment for depression which involves exercise and classical music. He randomly selects n = 50 patients taking depression medication from several clinics and invites them to his lab where he assesses their levels of depression with the Beck Depression Inventory (rated 0-63, with higher scores indicating more severe levels of depression). He finds that their mean depression score is M = 24.3 with a standard deviation of s = 14.47. He then has them come to the lab four times a week to exercise on an elliptical for 30 minutes while listening to Johann Sebastian Bach over the course of one month. After the month, the researcher re-assesses the patients with the Beck Depression Inventory and finds that their mean depression score is M = 17.08 with a standard deviation of s = 20.02. The researcher conducts a repeated-measures t-test to see if results suggest there is a significant (alpha = .05) decrease in depression symptoms (i.e., Beck Depression Inventory scores) after this exercise and Classical music treatment. The researcher computes a value of t = -10.22 for the sample data (Step 3). What is the correct decision and conclusion (Step 4) for the hypothesis test?

Explanation / Answer

Degrees of Freedom = n - 1

= 50 - 1 = 49

p-value at (t = -10.22) = 0.00001

P-value < 0.05

hence, the result is significant to support the hypothesis

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