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 α=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 |
70.9 |
67.1 |
71.6 |
67.8 |
72.3 |
70.5 |
|
Height of son (in inches),
Yi |
74.3 |
69.0 |
67.5 |
68.7 |
67.9 |
76.2 |
What is the P-Value?
Let us denote the difference
d = Height of father - Height of son
There is not sufficient evidence to support the claim that sonsare significantly taller than their fathers.