(25 points) Given the following data set: 8.52, 8.51, 8.41, 8.43, 8.48, and 8.50. a. Calculate 13. b. Given r1 = 0.224 and r2 = 0.508 , compute 3T3. c. Test whether p3 is significant different from 0 or not. Please state the hypotheses, compute the test statistics, make the decision, and state the conclusion. Hint: use information of r3, calculate its corresponding tstatistic and compare the absolute value of it with 2. d. Calculate r33. e. Test whether p33 is significant different from 0 or not. Please state the hypotheses, compute the test statistics, make the decision, and state the conclusion. Hint: use information of 1-33, calculate its corresponding tstatistic and compare the absolute value of it with 2