Question

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 sons taller than their fathers? Use the α=0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

Height of Father   Height of Son
71.5    76.6
69.5    73.0
72.6    75.1
70.8    72.5
73.5    74.6
67.1    67.6
67.8    67.7
69.2    68.7
73.2    72.0
66.6    64.8
70.1    67.5
70.1    66.6
70.4    65.3

Which conditions must be met by the sample for this test?

Select all that apply.

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

B. The sample size must be large.

C. The sample size is no more than 5% of the population size.

D. The sampling method results in an independent sample.

E. The sampling method results in a dependent sample.

Answer 1