The nicotine content in cigarettes is important for any brand of cigarettes. A company advertises that the mean nicotine content of their brand cigarette is 1.6 milligrams. A customer organization believes that true mean nicotine content is more than 1.6 milligram. Their examination on a randomly selected 180 cigarettes of the brand yields a sample mean 1.62 milligrams and standard deviation 0.1 milligrams. Conduct an appropriate hypothesis test at a 0.01 level of significance. a) State the appropriate null and alternative hypotheses of the test in terms of the pop- ulation mean nicotine content ji to address the customer organization's concern?
b) What is the rejection region for your test in (a)?
c) Calculate the test statistic.
d) What is the p-value of this test?
e) Based on your results, what is your conclusion regarding the customer organization's concern?