To test the belief that sons are taller than theirfathers, 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 sons taller than theirfathers? Use the =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.

DATA TABLE

Height of Father Xi Height of Son Yi

68.5 73.4

72.6 76.1

70.1 72.7

69.3 71.2

67.6 68.9

72.7 73.3

72.4 72.3

68.4 67.9

69.7 68.5

66.8 65.0

67.2 64.7

67.1 63.6

67.6 62.7

Which conditions must be met by the sample for thistest? Select all that apply.

A.The sampling method results in an independent sample.

B.The sample size is no more than5% of the population size.

C.The differences are normally distributed or the sample size is large.

D.The sample size must be large.

E.The sampling method results in a dependent sample.