5. To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the data in the table given on the Lab pdf. Is this evidence that sons are taller than their fathers? Test an appropriate hypothesis using a significance level of 0.10(= 0.10).You can assume all conditions and assumptions are met.

Matched Pair 1 2 3 4 5 6 7 8 9 10 11 12 13

Height of father (in.) 70.3 67.1 70.9 66.8 72.8 70.4 71.8 70.1 69.9 70.8 70.2 70.4 72.4

Height of son (in.) 74.1 69.2 66.9 69.2 68.9 70.2 70.4 69.3 75.8 72.3 69.2 68.6 73.9

a.Find the P-value.

b.Give the conclusion in context.Ex: fail to reject Ho because...

6. Using the information given in question #5, create 90% confidence interval for the mean difference in heights between father and son and interpret your interval in the context of the problem.

a. Interval:

b. Interval in Context: ex: we are 90% confident...