Mitch thinks that there is a difference in quality of life

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Mitch 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 xr¯=79.1 years with a standard deviation of sr=5.25 years. A sample of 10 people from larger towns give xu¯=75.3 years and su=8.5 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:

H0 =

Ha =

(b) The degree of freedom is ___.

(c) The test statistic is ___.

(d) Based on this data, Mike concludes:

- There is not sufficient evidence to show that life expectancies are different for rural and urban communities.

- The results are significant. The data seems to indicate that people living in rural communities have a different life expectancy than those in urban communities.

Reference no: EM13615934

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