MS 150 Statistics Fall 2001 Quiz 12

Pretest Posttest
9 13
8 9
8 9
10 11
10 11
6 11
10 10

Use Excel to run a paired t-test on the above data at a significance level of a = 0.05 and a hypothesized mean difference of zero. Use the results for a two-tailed test. Hint: the variance is the square of the standard deviation.

  1. What is H0? ___________
  2. What is H1? ___________
  3. What is a?___________
  4. How many tails?___________
  5. Report n___________
  6. Report x for the pretest___________
  7. What is sx for the pretest?___________
  8. Report x for the posttest___________
  9. What is sx for the posttest?___________
  10. Report the correlation coefficient r _________
  11. Report the degrees of freedom ___________
  12. Report the t-statistic _______
  13. Report tc for a two-tailed distribution ___________
  14. Make a sketch on the back of the t-distribution including µ, ± tc, the t-statistic, and the area in the tails.
  15. Do we reject H0 or do we fail to reject H0?___________
  16. Is the difference in the test averages at a = 0.05 statistically significant? _____

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