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:

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?

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Drug A Drug B X1 27.2 33.5 6.36 s2 18.92