The general Manager of an engineering firm wants to know whether a technical artist's experience influences the quality of his or her work. A random sample of 24 artists is selected and their years of work experience and quality rating(as assessed by their supervisors) recorded. Work experience (EXPER) is measures in years and quality rating (RATING) takes a value 1 through 7, with 7=excellent and 1=poor. The simple regression model RATING=B1+B2EXPER+e is proposed . The least squares estimates are RATING=3.204+0.076EXPER. (SE) (0.709) (0.044)

A) construct a 90% confidence interval for B2, the slope of the relationship between quality rating and experience. In what are you 90% confidence

B) Test the null hypothesis that B2 is zero a gainst the alternative that is not using a two-tail test and alpha=0.10 level of significance. What do you conclude?

C) Test the null hypothesis that B2 is zero against one-tail alternative that is positive at alpha=0.10 sig level.

D) For the test in (c) the p-value is 0.0982. If we choose the probability of a Type I error to be alpha=0.05, do we reject the null hypothesis, or not just based on the inspection of the p-value. How is this p-value computed?