The placebo effect is particularly strong in patients with Parkinson\'s disease.

Question

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) x = -0.331 and s = 0.193. The value of the t statistic (plusorminus 0.01) is squarebox Is there significant evidence of a difference between treatment and control? Yes No.

Explanation / Answer

Let mu difference=0

The standard error of mean is: root over s^2/n

=root over 0.193^2/6

=0.08

The value of test statistic is:

(x bar-mud)/sigma

=(-0.331-0)/0.193

=-1.72

The critical value of t(0.01,5)=+/-4.032

The test statistic does not fall inthe critical region, so fail to reject the null.

Thus there is no significant difference between treatment and control.

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