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 bloodsteam was x1 = 24 minutes with standard deviation s1 = 3 minutes. For the second drug, a random sample of 10 doses showed the average time required for absorption was x2 = 29 minutes with standard deviation s2 = 4.9 minutes. Assume that the absorption times follow a normal distribution.
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1. Find a 90% confidence interval for the difference in average absorption times for the two drugs.
2. Does it appear that one drug is absorbed faster than the other (at the 90% level)? Explain