Question: The Carolina Tobacco Company advertised that its best-selling non-filtered cigarettes contain 40 mg of nicotine, but Consumer Advocate magazine ran tests of 12 randomly selected cigarettes and found the amounts shown in the accompanying list. It's a serious matter to charge that the company advertising is wrong, so the magazine editor chooses a significance level of a = 0.01 in the testing of her belief that the mean nicotine content is greater than 40 Mg. Using a 0.01 level of significance, test the editor's claim that the population mean is greater than 40 mg. The amounts of nicotine found in the sample are:

47.3, 39.3, 40.3, 38.3, 46.3, 43.3, 42.3, 49.3, 40.3, 46.3, 39.8, 39.6

A) What are the null and alternative hypotheses for this study? To receive full credit you must write these claims both symbolically AND in English.

B) What is the critical t-value for this test?

C) What is the t-value based on the sample?

D) What is your decision about the editor's claim? Based on these numbers, should the Carolina Tobacco Company be concerned about false advertising?