3. An experiment is performed to determine whether the average nicotine content of one kind of cigarette exceeds that of another by 0.20 mg. If n1 = 50 cigarettes of the first kind had an average nicotine content of 1 = 2.61 mg with a standard deviation of 0.12 mg, whereas n2 = 40 cigarettes of the other kind had an average nicotine content of 2 = 2.38 mg with a standard deviation of $2 = 0.14 mg, test the null hypothesis M1 - M2 = 0.20 against the alternative hypothesis /1 - /2 * 0.20 at the 0.05 level of significance. Base the decision on the p-value corresponding to the value of the appropriate test statistic