A random sample of 14 cigarettes of a certain brand has an average nicotine content of 3.7 milligrams and a standard deviation of 1.5 milligrams. What is the standard error of the 99% confidence interval for the average nicotine content of the cigarettes.
The critical value for "\\alpha = 0.01" and "df = n-1 = 13" degrees of freedom is "t_c = z_{1-\\alpha\/2; n-1} =3.012275."
The corresponding confidence interval is computed as shown below:
The standard error is
The standard error of the 99% confidence interval for the average nicotine content of the cigarettes is 0.4009 milligrams.
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