Answer Happy

The midterm and final exam scores for a sample of 18 students were recorded. The scores for the 18 students are shown below: Midterm Exam Score Final Exam Score 55 67 60 78 70 72 71 60 72 59 75 80 74 63 65 77 74 68 87 97 85 85 80 86 75 86 78 94 88 90 80 82 76 80 89 80 Test the claim that there is significant correlation between midterm and final exam scores at the 0.05 significance level.

a) If we use M to denote the midterm exam scores and F to denote the final exam scores, identify the correct alternative hypothesis. OH:r #0 OH:P #0 OH:PM # PF OH:u #0 OH:p=0 b) Ther correlation coefficient is: (round to 3 decimal places) c) The critical value is: (round to 3 decimal places) Use the critical value table below d) Based on this, we O Reject H O Fail to reject HO

e) Which means O There is not sufficient evidence to warrant rejection of the claim O There is sufficient evidence to warrant rejection of the claim O There is not sufficient evidence to support the claim O The sample data supports the claim f) The regression equation (in terms of income 2) is: ŷ (round to 2 decimal places) = g) To predict what score a student will make on the final exam, it would be most appropriate to: O Use the regression equation O Use the mean final exam score O Use the p-Value O Use the residual

Degrees of Freedom: n-2 Critical Value: (+ or -) 0.05 Significance Level 0.997 1 2 0.95 3 0.878 4 0.811 5 6 0.754 0.707 0.666 7 8 0.632 9 0.602 10 0.576 11 0.553 0.532 12 13 0.514 14 15 0.497 0.482 0.468 16 17 0.456 18 0.444 19 0.433 20 0.423 21 0.413 22 0.404 0.396 23 24 0.388 25 0.381 26 0.374