Two pain relief drugs are being considered. A random sample of 8 doses of the fi

Question

Two pain relief drugs are being considered. A random sample of 8 doses of the first drug showed that the average amount of time required before the drug was absorbed into the bloodstream was x1 = 24 minutes with population standard deviation = 4 minutes. For the second drug, a random sample of 10 doses showed the average time required for absorption was x2 = 29 minutes with population standard deviation = 3.9 minutes.The absorption times follow an approximately normal distribution. a) Should you use the critical value (zc) or (tc) in determining a confidence interval in this problem? Explain. b) Find a 90% confidence interval for the difference in average absorption time for the two drugs. c) Does it appear that one drug is absorbed faster than the other (at the 90% level)? Explain.

Explanation / Answer

A t value is needed because the population is not infinite (in which case you use z) Mu1-mu2=x1-x2+/-t sqrt((S1^2/n1)+(s2^2/n2)) 9.8-8.1+/-1.664sqrt((2.2^2/42)+(3.5^2/

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