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Case Study

Decide whether a tt-test is the appropriate statistical analysis to evaluate the relationship in this study. Justify your decision by explaining how the study design matches the primary function and structural requirements of a tt-test.

Case context: A psychologist is investigating whether a new mindfulness app reduces exam anxiety in college students. She randomly assigns 50 students to use the mindfulness app for 15 minutes before an exam (Group 1) and another 50 students to sit quietly in a room without the app (Group 2). After the exam, she records their anxiety levels on a continuous scale from 1 to 10 and calculates the average anxiety score for each group.

Question: Decide whether a tt-test is the appropriate statistical analysis to evaluate the relationship in this study. Justify your decision by explaining how the study design matches the primary function and structural requirements of a tt-test.

Sample answer: Yes, a tt-test is the appropriate statistical analysis for this study. The research design compares the average anxiety scores of exactly two groups (the mindfulness app group and the quiet control group). Since a tt-test is specifically designed as a null hypothesis test to evaluate statistical relationships that focus on the difference between two means, it matches the requirements of this two-group comparison design.

Key points:

  • Correctly choose the tt-test as the appropriate statistical analysis.
  • Identify that the study compares exactly two means (mindfulness group vs. control group).
  • Link the study's two-group comparison to the tt-test's definition of evaluating the difference between two means.

Rubric: To receive full credit, the student must correctly decide that the tt-test is appropriate and justify it by explaining that the study compares exactly two group means (Group 1 and Group 2) which aligns with the core purpose of a tt-test.

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Updated 2026-05-26

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Research Methods in Psychology - 4th American Edition @ KPU

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