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:

(a) Compute and interpret the sample correlation coefficient.

(b) State necessary assumptions on random variables.

(c) Test the hypothesis that p = 0.5 against the alternative that p > 0.5. Use a P-value in theconclusion.

Chemistry Grade, y 85 74 76 90 85 87 94 98 Test Student Score, x 65 50 55 65 55 3 70 65 70 55 70 81 10 91 11 50 76 12 74 55