The dean of students wants to see whether there is a significant difference in ages of resident students and commuting students. She selects a sample of 50 students from each group. The ages are shown here. At α = 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 σ1 = 3.68 and σ2 = 4.7.

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

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493280 212212 682808 213121 869282 221212 678931 u-221122 e-348911 id-221222 766899 222111 5009913 2231122 2589629 2211221 Commuter students 18 20 19 18 22 25 2435 23 18 23 22 28252024 26 30 22 22 222 18 20 19 26 35 19 19 18 19 32 29 23 2 19 36 27 27 20 20 2 18 19 23 201919 20 25