Two pain relief drugs are being considered. Drug I has shown in the past to have a standard deviation sigma 1 =4 minutes. A random sample of 8 doses of the first drug showed that the average amount of time required before the was absorbed into the bloodstream was x 1 =24 minutes. For the second drug, the historical data indicated a standard deviation sigma 2 =3.9 minutes. A random sample of 10 doses showed the average time required for absorption was overline x 2 =29 minutes . Assume the absorption times follow a normal distribution. a. Should you use the Z-Distribution or T- Dstribution in determining a confidence interval in this problem Explain. b. Find a 95% 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 95% level)? Explain
Unitary Method
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7. Two pain relief drugs are being considered. Drug I has shown in the past to have a standard deviation sigma 1 =4 minutes. A random sample of 8 doses of the first drug showed that the average amount of time required before the was absorbed into the bloodstream was x 1 =24 minutes. For the second drug, the historical data indicated a standard deviation sigma 2 =3.9 minutes. A random sample of 10 doses showed the average time required for absorption was overline x 2 =29 minutes . Assume the absorption times follow a
a. Should you use the Z-Distribution or T- Dstribution in determining a confidence interval in this problem Explain.
b. Find a 95% 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 95% level)? Explain
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