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3. (7 pts.) Suppose the time that it takes for a certain infection to be cured...

3. (7 pts.) Suppose the time that it takes for a certain infection to be cured is Normally distributed with mean (in days)  and standard deviation = 1 day. The drug manufacturer advertises that it works in 5 days, on average, but measurements on a random sample of 150 patients gave a mean infection time of = 5.2 days. Is this evidence that the mean time to be cured is actually more than advertised? (a) To answer this, test the following hypotheses at significance level  = 0.05. H0 :  = 5, Ha :  > 5 (b) In the context of this example, describe in words the meaning of type I and type II errors. (c) Which type of error would you consider to be more serious? Explain. PLEASE EXPLAIN ANSWERS

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