Statistics
posted by Maria Elizabeth .
Cigarette companies advertise that the mean amount of nicotine in each cigarette is
1.4 milligrams. A health advocacy group believes that the amount of nicotine is
greater than the advertised amount. They hire a consultant who collects a sample of size 31 and finds that it has a mean of 1.58 milligrams with a standard deviation of
0.17 milligrams.
Run a full hypothesis test at the 1% level of significance to test the health advocacy groupâ€™s claim.
Is it necessary for the amount of nicotine in cigarettes to be normally distributed in order to run the hypothesis test? Explain your answer briefly

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