To evaluate the effectiveness of a new pain relief drug, an experiament was cond

Question

To evaluate the effectiveness of a new pain relief drug, an experiament was conducted in which 40 subjects received the new drug and 50 subjects received the old one. Among the subjects receiving the new drug , the pain disappeared in 12.3 minutes on the average with a standard diviation of 13.2 min. Among the subject receiving the old one , the pain disappeared in 15.4 minutes on the average with standard diviation of 12.4 min. Test with a=0.05 that the new drug relief pain faster then the old one.

Explanation / Answer

Hypothesis:

H0 : mu1 = mu2
Ha : mu1 > mu2

Test statistics:

z = ( x1 - x2)/sqrt(s1^2/n1 + s2^2/n2)
= ( 12.3 - 15.4) / sqrt(13.2^2/40 + 12.4^2/50)
= -1.1372

p value = 0.1277

Do not reject the null hypothesis

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