In: Statistics and Probability
1. A researcher is interested in finding out if college-bound high school students tend to smoke cigarettes less than high school students who are not college-bound. He distributes a questionnaire and finds that for a group of 57 college-bound students, the mean number of cigarettes smoked per week is 4.0 with a standard deviation of 2.0. For 36 non-college-bound students, he finds that the mean number of cigarettes smoked per week is 9.0 with a standard deviation of 3.0. A. What is the null hypothesis? B. What is the alternative hypothesis? C. What is the t value? (Be sure to show your work.) D. Using your table, is the difference between these groups statistically significant at the 0.05 level?
Here, we conduct T-test for two means as :
Hence, there is enough evidence to conclude that college-bound high school students tend to smoke cigarettes less than high school students who are not college-bound at 5% level of significance.