Sam thinks that there is a difference in quality of life between rural and urban living. He collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 14 people from rural towns give a life expectancy of xr¯=75.6 x r ¯ = 75.6 years with a standard deviation of sr=9.61 s r = 9.61 years. A sample of 10 people from larger towns give xu¯=84.2 x u ¯ = 84.2 years and su=9.42 s u = 9.42 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 10% level of significance.
(b) The degree of freedom is
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