12. A researcher is interested in finding out if college-bound high school students tend to have different smoking habits compared to high school students who are not college bound. He distributed a survey that asks students about their smoking habits; 27 college-bound students and 35 non-college bound students responded. The summary statistics are below. Answer the following questions based on this data Non-College Bound College Bound M, = 9 cigarettes/day M, = 4 cigarettes/day S12 = 6.0 S , 2 = 4.0 n1 = 35 n2 = 27 a) In words and symbols, state the null and alternative hypotheses for this study. (4 pts) b) Calculate the correct t test. (3 pts) d) What are the df? What are the tcritical? Assume a =.05. (1 pt) f) What is the conclusion? Write up the results, using APA format (even if not significant), including whether we reject or fail to reject the null hypothesis and whether there is a difference in smoking habits as a function of whether students are college-bound or not. (2 pts)