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 expectanc 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 H. = mu_r not =mu_u

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Please see below. I just need help with the degrees of freedom part. Note: The answer for that problem IS NOT 15.38, 15.3827, 15, OR 19. Please be certain of your work.
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
H =
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 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 H = mu_r not =mu_u (b) The degree of freedom is 15.38
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