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The Printout Below Contains Summary Statistics of the Heights of a Sample

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The printout below contains summary statistics of the heights of a sample of 200 adult men in the United States.

Descriptive Statistics: HT  Variable N Mean  StDev  Minimum  Q1  Median  Q2  HT 20070.1872.71662.37567.87569.62571.500\begin{array} { | l | l | l | l | l | l | l | l | l } \hline \text { Variable } & \mathrm { N } & \text { Mean } & \text { StDev } & \text { Minimum } & \text { Q1 } & \text { Median } & \text { Q2 } & \\\hline \text { HT } & 200 & 70.187 & 2.716 & 62.375 & 67.875 & 69.625 & 71.500 & \\\hline\end{array} Use the information in the printout to determine whether the distribution of heights is approximately normal. Explain your reasoning.

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