1. A tobacco company claims that its best-selling cigarettes contain at most 40 mg of nicotine. The average nicotine content from a simple random sample 15 cigarettes is 42.6 mg with a standard deviation (s) of 3.7 mg. Is this evidence the nicotine content of the cigarettes exceeds 40 mg? Assume cigarette nicotine content is distributed normally. Use a 1% level of significance (=0.01) to carry out the appropriate test of significance.

(a) (4 pts.) State your hypotheses using mathematical notation:

(b) (4 pts.) Interpret the null hypothesis (i.e. say what it means).

(c) (4 pts.) Calculate the test statistic:

(d) (4 pts.) Determine the p-value:

(e) (4 pts.) State your conclusion in terms of the problem: