Solved: The following data represent the chemistry grades

Chapter , Problem 7.83

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The following data represent the chemistry grades for a random sample of 12 freshmen at a certain college along with their scores on an intelligence test administered while they were still seniors in high school. Test Chemistry Student Score, x Grade, y 1 2 3 4 5 6 7 8 9 10 11 12 65 50 55 65 55 70 65 70 55 70 50 55 85 74 76 90 85 87 94 98 81 91 76 74 (a) Compute and interpret the sample correlation coefficient. (b) State necessary assumptions on random variables. (c) Test the hypothesis that = 0.5 against the alternative that > 0.5. Use a P-value in the conclusion.

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