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To test the belief that sons are taller than their Fathers, a student randomly SIlects 13 fathers who have adult male children. She reoords the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the 11= 0.025 level of signicance. Note: A normal probability plot and boxplotof the data indicate that the dierenoes are approximately normally distributed with no outliers. a Click the icon to View the table of data. _ . .. 0 Table of height date EC. The sampling method results in a dIIpendnt sample. ED. The differences are normally distributed or the sample size is large. Height of Height of 91 Father, X. Son. Y. E'E. The sample size is no more than 5% 01 the population size. Lel d. =Xi - Y.. Write the hypotheses tor the test. 73.2 78.3 70.3 73.9 H : pa = o 71.7 74.1 0 71.4 73.3 W \"11"\" 73.1 74.3 67.2 67.7 Calculate the test statistic. 35.3 335 70.5 69.9 to = (Round to two dedmal plaoes as needed.) 69.5 68.3 70.1 68.4 Enter your answer in the answer box and then click Check Answer. 72-9 7075 70.9 67.3 70.7 65.6 Dam