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The county commissioners received a number of complaints from county residents that the Youngsville Fire Department takes longer to respond to emergency runs than the Claredon Fire Department. To check the validity of these complaints, a random sample of 60 emergency runs handled by the Youngsville Fire Department was selected. It was found that the mean response time was 6.9 minutes and the standard deviation of the sample 3.8 minutes. A sample of 70 emergency runs handled by the Claredon Fire Department found the mean response time was 4.9 minutes with a sample standard deviation of 3.0 minutes. Does the data suggest that it takes longer for the Youngsville Department to respond? Use the 0.05 significance level. State your work in the 5-step hypothesis test.
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