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 x = 71.5 years with a standard deviation of s, = 6.6 years. A sample of 6 people from larger towns give x = 74.3 years and su= 9.52 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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
16 people from rural towns give a life expectancy of x = 71.5 years with a standard deviation of S₁ = 6.6 years. A
sample of 6 people from larger towns give x = 74.3 years and su = 9.52 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: (Type "mu_r" for the symbol µ,, 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 =
Ha
=
(b) The degree of freedom is
(c) The test statistic is
●‒‒
—
……
T
TT
……
……
Transcribed Image Text: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 x = 71.5 years with a standard deviation of S₁ = 6.6 years. A sample of 6 people from larger towns give x = 74.3 years and su = 9.52 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: (Type "mu_r" for the symbol µ,, 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 = Ha = (b) The degree of freedom is (c) The test statistic is ●‒‒ — …… T TT …… ……
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