(Question 5 focuses on material from Chapter 22) 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 below. Is this evidence that sons are taller than their fathers? Test an appropriate hypothesis using a significance level of 0.10 (a = 0.10). You can assume all conditions and assumptions are met. Note: A normal probability plot and a boxplot show the differences to be approximately normal. Matched 1 2 4 5 6 7 8 9 10 11 12 13 Pair Height of 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 father (in.) Height of 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 son (in.) a . Write the Hypothesis for the test. Ho: IIN b. Find the P-value. P-value: c. Give the conclusion in context. (3 things needed) Conclusion in context: Using the information given in question #5 above, create a 90% confidence interval for the mean difference in