A sample of 30-year conventional mortgage rates at 11 randomly chosen banks in California yielded a mean rate of 7.61 percent and a standard deviation of 0.39 percent. A similar sample taken at 8 randomly chosen banks in Pennsylvania had a mean rate of 7.43 percent, and a standard deviation of 0.56 percent. Do these samples provide evidence to conclude (at α = 0.10) that conventional mortgage rates in California and Pennsylvania come from populations with different means?
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