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how would i go about solving for question 3b an maybe even 3a

A random sample of 16 persons was used in a study of the effectiveness of a new drug used in the treatment of poison ivy. Each person had a small portion of one arm exposed to poison ivy and allowed a rash to occur. The new drug was then applied to the infected area twice daily until the rash disappeared. The results are shown below

= 2.4 days

S = 1.4 days

a) Can we conclude that the true mean is less than 3.0 days?

b) What is a 95% C.I for the true mean?


3) In the above sample of 16 persons, 5 persons required 6 days or more days of treatment before the rash was gone.

a) Can we conclude that, in the general population, more than 25% of those using the new drug will require at least 6 days of treatment?

b) What is a 95% C.I. for the true proportion?


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