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In: Statistics and Probability

Transcranial magnetic stimulation (TMS) is a non-invasive neurostimulation procedure, involving a changing magnetic field that causes...

Transcranial magnetic stimulation (TMS) is a non-invasive neurostimulation procedure, involving a changing magnetic field that causes electric current to flow in a target brain region. TMS has shown potential benefits to learning and memory.

For Questions 32-37, you will conduct a repeated measures t-test to determine whether students memorized more vocabulary words while undergoing TMS stimulation (experimental condition) versus “sham” TMS (placebo condition), using a 2-tailed test with α = 0.05. MAINTAIN AT LEAST TWO DECIMAL PLACES . Also report the 95% CI for the mean difference. Report your final results in a complete sentence, following the standard conventions.

Participant TMS Sham Difference?
A 12 7
B 5 6
C 9 4
D 9 5
E 10 3

32. What is the mean difference score, MD (Hint: fill in the difference column using TMS - minus - Sham)

33: What is the sample variance, s2, for the difference scores?

34. What is the estimated standard error for the difference scores, sMD?

35: What is the t-statistic for the sample mean difference?

36: What is the 95% Confidence Interval around the mean difference?

37. Report the results of the t-test and the 95% confidence interval in a proper sentence. You may chose your own alpha-criterion and whether to do one- or two-tailed, but be sure to include that information in your sentence.

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