Define the related-repeated (pre/post) two-sample t-test and the related-matched two-sample t-test.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. Define the related-repeated (pre/post) two-sample t-test and the related-matched two-sample t-test.

2. Write the statistical hypotheses and draw the normal distribution for each of the follow hypothesis scenarios.

3. Write the names and formulas for the determining t-obtained (use the proper symbols) when conducting a related two-sample t-test.

4. Define homogenous variance.

5. Students have the opportunity to attend study sessions for their statistics class. You would like to see if attending a study session prior to taking an exam affects scores, compared to exam scores when students didn’t attend a study session. Eight students took exam one without attending the study session. The same eight students attended a study session prior to exam two. Conduct a statistical test to see if the study session made a difference.

6. Working as a recreation & activities director at an assisted-living facility, you would like to see if going for walks reduces depression for the residents in the facility where you work. You randomly select 6 pairs of residents, matched by age and then randomly assign one member of each pair to either the “walking” group or the “non-walking” group. For one week you take the “walking” group out for an afternoon walk each day. The “non-walkers” continue to participate in the regular activities program, without walks. After one week you will measure and compare the “walker” well-being index scores with the “non-walker” well-being scores.

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