(20.31) The placebo effect is particularly strong in patients with Parkinson\'s

Question

(20.31) The placebo effect is particularly strong in patients with Parkinson's disease. To understand the workings of the placebo effect, scientists measure activity at a key point in the brain when patients receive a placebo that they think is an active drug and also when no treatment is given. The same six patients are measured both with and without the placebo, at different times. The six differences (treatment minus control) had x¯ = -0.277 and s = 0.17.

The value of the t statistic (±0.01) is ____.

Is there significant evidence of a difference between treatment and control? yes or no

Explanation / Answer

1)std error =s/sqrt(n)=0.17/sqrt(6)

hence  value of the t statistic =xbar/std error =-0.277/(0.17/sqrt(6))=-3.99

here for (n-1=5 degree of freedom and 0.05 level critical value t=-/+2.570

as test statistic -3.99 is in crtiical region therefore there is  significant evidence of a difference between treatment and control . Yes

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