When the Hatching of Young Geese Is Very Near, the Father

Essay

When the hatching of young geese is very near, the father guards the nest to defend it from predators that may be attracted by the hatchlings noisy entrance into the world. The following data are the typical distances from the nest for 24 soon to be father geese. A biologist would like to construct a $95 \%$ confidence interval for the mean distance of future father geese from the nest during this period. (Distances are in $\mathrm { km }$ .)
$\begin{array}{|l|l|l|l|l|l|}\hline 2.0 & 4.4 & 4.5 & 4.5 & 4.7 & 4.9 \\\hline 4.9 & 5.0 & 5.2 & 5.3 & 5.3 & 5.4 \\\hline 5.4 & 5.4 & 5.5 & 5.5 & 5.6 & 5.6 \\\hline 5.6 & 5.6 & 5.7 & 5.8 & 5.9 & 6.3 \\\hline\end{array}$
a) Using a graphical display of your choice, display the data in a way that will allow you to determine whether it would be appropriate to use a $95 \% t$ confidence interval to estimate the population mean.



b) Using the graphical display from part (a), would you advise that constructing a $95 \%$ confidence interval is appropriate? Explain the basis of your recommendation.