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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Please see below. I just need help with the degree of freedom part. My answer was wrong. Note that the answer for that problem IS NOT 15.38, 15.3827, OR 15.
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 ,, 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
Transcribed Image Text: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 ,, 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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