5. A male researcher has two sons, both of which are taller than him. The researcher believes that sons are, on average, taller that their fathers and decides to test this. A random sample of size n = 7 father-son pairs are listed below. Assume father-son height differences are normally distributed. 1 2 3 4 5 6 7 Height of 70.3 671 70.9 66.8 72.8 70.4 71.8 father HBight of 74.1 69.2 66.9 69.2 68.9 70.2 70.4 son. Conduct a hypothesis test with a: = 0.05 to assess whether the mean difference in heights (father - son) supports the researcher's claim