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Sue thinks that there is a difference in quality of life between rural and urban

ID: 2907161 • Letter: S

Question

Sue thinks that there is a difference in quality of life between rural and urban living. She 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 16 people from rural towns give a life expectancy of xr¯=82.3 years with a standard deviation of sr=6 years. A sample of 10 people from larger towns give xu¯=83.4 years and su=6.77 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)The degree of freedom is :

Explanation / Answer

degree of freedom =n1+n2-2= 16+10-2=14+10=24 ............( this is valid when population variance is same)

degree of freedom= smaller sample -1=10-1=9

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