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.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.