Question

# The authors used a more advanced statistical method than is covered by this course, however, you...

The authors used a more advanced statistical method than is covered by this course, however, you can apply what you know about hypotheses and statistical tests to understand their approach. Present hypotheses and conduct the appropriate statistical test to assess if the intervention and control groups differed in their Trail Making Test B results at follow-up (see Table 2). Comment on whether the conditions were met for using the selected test, include the StatCrunch output, and interpret your results in context.

 Table 2: Self-reported and measured heights of UIC Students ID Self-Reported Measured 1. 68 67.9 2. 71 69.9 3. 63 64.9 4. 70 68.3 5. 71 70.3 6. 60 60.6 7. 65 64.5 8. 64 67.0 9. 54 55.6 10. 63 74.2 11. 66 65.0 12. 72 70.8 13. 66 64.8 14. 68 67.6 15. 64 62.1 16. 56 56.8 17. 57 57.3 18. 58 59 19. 54 54 20. 53 52.2 21. 52 51 22. 61 61.4 23. 62 63 24. 62 61.2 25. 60 59.4 26. 59 57.5 27. 58 59 28. 57 57.3 29. 53 51.8 30. 57 56.5 31. 66 64 32. 72 70.8 33. 66 64 34. 68 67 35. 64 62 36. 56 56.8 37. 57 55 38. 58 59 39. 54 54 40. 53 52.2

we use t-test (paired)

 t-Test: Paired Two Sample for Means Self-Reported Measured Mean 61.45 61.3925 Variance 35.43333333 36.85096795 Observations 40 40 Pearson Correlation 0.934691299 Hypothesized Mean Difference 0 df 39 t Stat 0.167145011 P(T<=t) one-tail 0.434059806 t Critical one-tail 1.684875122 P(T<=t) two-tail 0.868119612 t Critical two-tail 2.02269092

p-value for 2-tailed = 0.8681

p-value > 0.05 (alpha)

we fail to reject the null hypothesis

there is not significant evidence that intervention and control groups differed in their Trail Making Test B