Answer
P-value $=0.351\gtα=0.1$. Do not reject the null hypothesis.
There is not enough evidence to conclude that sons are taller than their fathers.
Work Step by Step
$H_0:~µ_d=height_{father}-height_{son}=0$ versus $H_1:~µ_d=height_{father}-height_{son}\lt0$
In MINITAB, enter the height of the father in C1 and the height of the son in C2.
Select Stat -> Basic Statistics -> Paired-t
Select "Each sample is in a column". In "Sample 1" enter C1 and in "Sample 2" enter C2
Click Options. In confidence level enter 90. In Hypothesized difference enter 0. In Alternative hypothesis select difference < hypothesized difference. Click OK.
Click OK.
