Question
The nicotine content in cigarettes of a certain brand is Normally distributed with a standard deviation of = 0.1 milligrams. The brand advertises that the
The nicotine content in cigarettes of a certain brand is Normally distributed with a standard deviation of = 0.1 milligrams. The brand advertises that the mean nicotine content of their cigarettes is = 1.5 milligrams, but you are suspicious and plan to investigate the advertised claim by testing the hypotheses H 0: = 1.5 versus H a: > 1.5 at the 5% significance level. You will do so by measuring the nicotine content of 15 randomly selected cigarettes of this brand and computing the mean nicotine content of your measurements. If the mean nicotine content of the cigarettes is, in fact, =1.6, what is the power of the test?
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