grades for a random sample of 12 freshmen at a cer- 11.53 The following data represent the chemistry tain college along with their scores on an intelligence test administered while they were still seniors in high school. Chemistry Grade, y 1 t f Test Student Score, x 1 65 85 2 50 74 3 55 76 4 65 90 5 55 85 6 70 87 7 8 9 10 11 12 55 GA696A 65 94 70 98 55 81 70 91 50 76 74 (a) Compute and interpret the sample correlation co- efficient. (b) State necessary assumptions on random variables. = (c) Test the hypothesis that p 0.5 against the alter- native that p > 0.5. Use a P-value in the conclu- sion.