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A pharmaceutical company is planning to introduce a new painkiller. In a prelimi

ID: 3325264 • Letter: A

Question

A pharmaceutical company is planning to introduce a new painkiller. In a preliminary experiment to determine its effectiveness, 30 people were randomly selected, of whom 15 were given the new painkiller and 15 were given aspirin. All 30 were told to use the drug when headaches or other minor pains occurred and to indicate which of the following statements most accurately represented the effectiveness of the drug they took. 5 = The drug was extremely effective. 4 = The drug was quite effective. 3 = The drug was somewhat effective. 2 = The drug was slightly effective. 1 = The drug was not at all effective. Based on the Excel output of the data provided below, can we conclude at the 2.5% significance level that the new painkiller is perceived to be more effective? (Remember to write out your hypotheses and conclusion statement).

15

A B C D 1 Wilcoxon Rank Sum Test 2 3 Rank sum observations 4 New 276.5

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5 Aspirin 188.5 15 6 z Stat 1.83 7 P (Z<=z) one-tail 0.0340 8 z Critical one- tail 1.6449 9 P (Z <=z) two-tail 0.0680 10 z critical two-tail 1.9600

Explanation / Answer

Null: New pain killer is not more effective

Alt: New pain killer is more effective than old

It is a one tailed test

So, from table see one tail p value

p value = 0.0340

alpha = 0.025

p > 0.025

Null cant be rejected and thus we can conclude that New pain killer is not more effective

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