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The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...

The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ?μ and standard deviation ?=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 1.55 mg of nicotine. Conduct a test using a significance level of ?=0.05.

(a) The test statistic  

(b) The critical value, z* =

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Answer #1

Test statistic = z

= ( - ) /    / n

= (1.55 - 1.5) / 0.1 / 10

= 1.58

Test statistic = 1.581

Critical value = 1.645  

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