Question: Ages of College Students The dean of students wants to see whether there is a significant difference in ages of resident students and commuting students. She selects a random sample of 50 students from each group. The ages are shown here. At \(\alpha=0.05\), decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Use the \(P\) -value method. Assume \(\sigma_{1}=3.68\) and \(\sigma_{2}=4.7\).

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