Mike 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 13 people from rural towns give a life expectancy of x, = 72.6 years with a standard deviation of s, = 6.66 years. A sample of 8 people from larger towns give X = 70 years and s = 6.43 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. (a) State the null and alternative hypotheses: (Type "mu_r" for the symbol u,, e.g. mu_r not = mu_u for the means are not equal, mu_r > mu_u for the rural mean is larger, mu_r < mu_u , for the rural mean is smaller.) Ho = mu_r=mu_u Ha mu_r not =mu_u (b) The degree of freedom is 15.38

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