In: Statistics and Probability
To test the belief that sons are taller than their fathers, a student randomly selects 6 fathers who have adult male children. She records the height of both the father and son in inches and obtains the accompanying data. Are sons taller than their fathers? Use the alpha equals 0.1 level of significance. Note that a normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Observation
1
2
3
4
5
6
Height of father (in inches),
Xi
70.4
67.9
71.1
66.6
72.9
68.9
Height of son (in inches),
Yi
74.1
70.1
66.8
66.7
68.5
74.5