6 points
14)
Growth spurti ft is generally known that boys grow at an unusually fast rate between the ages of about 12 and 14 . following are heights, in inches of 10 boys, measured at age 12 and again at age 14. Can you conclude that the mean increase in height differs from 5 inches? Let \( \mu_{1} \) represent the mean height at age 14 and \( \mu_{d}=\mu_{1}-\mu_{2} \). Use the \( a=0.01 \) level and the P-value method with the TT-84 Plus calculator.
\begin{tabular}{ccccccccccc}
\hline & & Height \\
\hline Age 12 & 58.1 & 63.3 & 61.2 & 64.5 & 55.9 & 60.4 & 57.8 & 68.3 & 63.0 & 64.4 \\
\hline Age 14 & 63.3 & 69.6 & 66.4 & 69.2 & 62.0 & 65.7 & 62.8 & 73.6 & 67.7 & 69.2 \\
\hline
\end{tabular}
16