A researcher randomly selects 6 fathers who have adult sons and records the​ fathers' and​ sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their...


A researcher randomly selects 6 fathers who have adult sons and records the​ fathers' and​ sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the α=0.10 level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired​ t-test is reasonable.







































Observation


1


2


3


4


5


6




Height of father​ (in inches)


70.1


74.5


69.5


65.1


69.6


65.9




Height of son​ (in inches)


69.5


75.9


71.7


69.4


71.5


70.7









What are the hypotheses for the​ t-test? Note that population 1 is fathers and population 2 is sons.





A. H0​: μ1=μ2



Ha​: μ1<>







B. H0​: μ1=μ2



Ha​: μ1≠μ2







C. H0​: μ1=μ2



Ha​: μ1>μ2







D. H0​: μ1≥μ2



Ha​: μ1<>
















Jun 07, 2022
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