Question

In: Statistics and Probability

To test the belief that sons are taller than their​ fathers, a student randomly selects 6...

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?

Solutions

Expert Solution

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.


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