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ID: 2887452 • Letter: H

Question

http://www.webassign.net/mbasicstat6/appendix-tables.pdf ? Appendix Table?

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 both with and without the placebo, at different times. The six differences (treatment minus control) had x0.322 and s0.177. Is there significant evidence of a difference between treatment and control? (Round your answer to two decimal places. Assume a 95% confidence level.) Conclusion O Yes, there is significant evidence of a difference between treatment and control. O No, there is not enough evidence of a difference between treatment and control. You may need to use the appropriate Appendix Table to answer this question.

Explanation / Answer

The test statistic 't' can be calculated as t = (x - u ) / (sx/n1/2) when n<30
degrees of freedom = n-1
Here n= 6 so degrees of freedom = 6-1 = 5;
It is given that x-u = -0.322 and sx = stand deviation = 0.177
t = -0.322/ (-0.177/ 61/2) = -0.322/-0.0722 = 4.4561

From the apendix table, for a confidence interval of 95% and degrees of freedom =5 we see that t value comes out to be = 2.571
Since t calculated = 4.4561 is > t from table = 2.571, there is a significant evidence of a difference between treatment and control ;
So answer is first option;