The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) $\mu$ and standard deviation $\sigma = 0.1$. 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 $\alpha = 0.01$.

(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.