To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are son taller than their fathers? Use the a= 0.01 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of data Click here to view the table of critical t-values. X Which conditions must be met by the sample for this test? Select all that apply. Table of height data A. The sample size must be large. B. The differences are normally distributed or the sample size is large Height of Height of Father, X; Son, Y; C. The sample size is no more than 5% of the population size 66.7 71.8 D. The sampling method results in an independent sample. 67.4 71.0 E. The sampling method results in a dependent sample. 2.4 75.0 69.4 71.2 Let d, = X - Y. Write the hypotheses for the test. 66.9 68.0 71.4 72.0 72.9 Ho 3.3 72.7 71.4 I 72.6 71.6 69.9 Calculate the test statistic 67.3 64.9 72.6 69.1 to = (Round to two decimal places as needed.) 67.9 62.8 Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice (Round to two decimal places as needed.) O A. try2 = or - ta/2 = Print Done O B. - to = O C. to =