Question

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 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 20 cigarettes of this brand. The sample yields an average of 1.45 mg of nicotine. Conduct a test using a significance level of α=0.01. (a) The test statistic (b) The critical value, z* = (c) The final conclusion is A. The nicotine content is probably higher than advertised. B. There is not sufficient evidence to show that the ad is misleading.

          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 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 20 cigarettes
of this brand. The sample yields an average of 1.45 mg of nicotine.
Conduct a test using a significance level of α=0.01. (a) The test
statistic (b) The critical value, z* = (c) The final conclusion is
A. The nicotine content is probably higher than advertised. B.
There is not sufficient evidence to show that the ad is
misleading.

Added by Gloria T.

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