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...

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.