Econ 3640_002 Quiz 3_FA16

The nicotine content in cigarettes of a certain brand

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20. The nicotine content in cigarettes of a certain brand is normally distributed, with mean (in milligrams) µ and standard deviation σ = 0.1. The brand advertises that the mean nicotine content of its cigarettes is 1.5, but you are suspicious and plan to investigate the advertised claim by testing the hypotheses H 0 : µ = 1.5, H a : µ > 1.5 at the 5% significance level. You will do so by measuring the nicotine content of 100 randomly selected cigarettes of this brand and computing the mean nicotine content x of your measurements. The power of your test at µ = 1.6 is:
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