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Drug absorption

An experiment was conducted to compare the mean lengths of time required for the bodily absorption of two drugs A and B. Ten people were randomly selected and assigned to receive one of the drugs. The length of time (in minutes) for the drug to reach a specified level in the blood was recorded, and the data summary is given in the table:

Drug A

Drug B

x̄1=27.2 x̄2=33.5

S1^2=16.3 S2^2=18.92

a.)Do the data provide sufficient evidence to indicate a difference in mean times to absorption for the two drugs? Test using α=.05

b.) Find the approximate p-value for the test. Does this value confirm your conclusions?

c.)Find a 95% confidence interval for the difference in mean times to absorption. Does the interval confirm your conclusions in part a?