statistics problem show all work please will rate Placebo ef

Placebo effect in Parkinson\'s disease patients. The placebo effect occurs when a patient experiences a perceived benefit after receiving an inert substance. To help understand the mechanism behind this phenomenon in Parkinson\'s disease patients, investigators measured striatal RAC binding at a key point in the brains in six subjects. RAC binding was reduced by an average of 0.326 units on a placebo in the six subjects (s_d = 0.181).^1 Test this difference for statistical significance.

Solution

As

t = d*sqrt(n) / sd

Then

t = (-0.326)*sqrt(6) / 0.181 = -4.411788156

As for 0.05 significance, df = n - 1 = 5,

tcrit = -2.015048373

Then, as t < -2.015, then we conclude that the difference in RAC binding is significant at 0.05 level.