At the Actuarial science mee the firms, a student is waiting in line to talk to a Province Ranch Insurance recruiter. For eachn= 10 students waiting in line ahead of him, he notes the number of Actuarial science exams passed by the students whether or not the student has already had an internship, and the time the students spends talking to the recruiter.

\fy = time (in minutes number of exams passes X, = internship(0 = no, 1 = yes) Consider the model Y = Bo+ B1X1+ B2x2 + / M (yi - y )2 = 5.0 V (yi - y)= = 13.5d) Given Var (B1) = 0.07143. Test Ho: B1 = 0 vs. H1 : B, # 0 at the 5% level of significance. Report the value of the test statistic, the critical values, and the decision. (Please note that Variance and standard error are not the same. ) (8 points) e) Construct a 95% confidence interval for B2. (5 points) Interpret Bo in the context of the problem (Including the value, and what it represents). (5 points) g) Interpret B, in the context of the problem (Including the value, and what it represents). (5 points)