(a) To answer this, test the following hypotheses at significance level a= 0.05. Ho: µ= 5, Ha: µ>5 (b) In the context of this example, describe in words the meaning of type I and type II error

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Suppose the time that it takes for a certain infection to be cured is Normally distributed
1 day. The drug manufacturer advertises that it
with mean (in days) µ and standard deviation o
works in 5 days, on average, but measurements on a random sample of 200 patients gave a mean
infection time of ī = 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 a= 0.05.
H,: µ= 5, Ha: µ> 5
(b) In the context of this example, describe in words the meaning of type I and type II errors.
Transcribed Image Text:Suppose the time that it takes for a certain infection to be cured is Normally distributed 1 day. The drug manufacturer advertises that it with mean (in days) µ and standard deviation o works in 5 days, on average, but measurements on a random sample of 200 patients gave a mean infection time of ī = 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 a= 0.05. H,: µ= 5, Ha: µ> 5 (b) In the context of this example, describe in words the meaning of type I and type II errors.
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