The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ?μ and standard deviation ?=0.1σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 10 cigarettes of this brand. The sample yields an average of 1.45 mg of nicotine. Conduct a test using a significance level of ?=0.05α=0.05. (a) The test statistic (b) The critical value, z* =

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The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ?μ and standard deviation ?=0.1σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 10 cigarettes of this brand. The sample yields an average of 1.45 mg of nicotine. Conduct a test using a significance level of ?=0.05α=0.05.

(a) The test statistic

(b) The critical value, z* =

 

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