In: Statistics and Probability
Researchers are testing the effectiveness of a new smoking cessation program. At the close of the program the mean number of cigarettes smoked for the 328 people who completed the program was 4.3 with a standard deviation of 5.22. The mean number of cigarettes smoked per day for the 298 people who did not complete the program was 13 with a standard deviation of 8.97. Is there a difference between the two means? Use a 5% level of significance to answer the question. Assume equal variances. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. Must show your work