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 reassesses 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. Were depression symptoms (i.e., Beck Depression Inventory scores) more consistent before or after the treatment? How do you know?

Explanation / Answer

below are the null and alternate hypothesis

Significance level = 0.05

As p-value is less than significance level, we reject null hypothesis. This means Beck Depression inventory scores are not consistent

Null Hypothesis Alternate Hypothesis H0: 1 - 2 <= 0 Ha: 1 - 2 > 0

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