11-55. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final av- erages are jointly normally distributed. (a) Find the regression line relating the statistics final average to the OR final average. (b) Test for significance of regression using a = 0.05. Statistics 86 75 69 75 90 OR 80 81 75 81 92 Statistics 94 83 86 71 65 OR 80 81 72 Statistics 84 71 62 90 83 OR 85 72 65 93 81 Statistics 75 71 76 84 97 OR 70 73 72 80 98 (c) Estimate the correlation coefficient. (d) Test the hypothesis that p = 0, using a = 0.05. (e) Test the hypothesis that p = 0.5, using a = 0.05. (f) Construct a 95% confidence interval for the correlation coefficient.

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