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 19 people from rural towns give a life expectancy of x = 73.8 years with a standard deviation of s,= 6.45 years. A sample of 5 people from larger towns give x=77.3 years and s, = 9.84 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 1% level of significance. (a) State the null and alternative hypotheses (b) The degree of freedom is __ (c) The test statistic is __
