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ive a life expectancy of x = 71.5 years with a standard deviation of s, = 6.6 years. A sample of 6 people from la = 74.3 years and su = 9.52 years. Does this provide evidence that people living in rural Idaho communities hav xpectancy than those in more urban communities? Use a 1% level of significance. ) State the null and alternative hypotheses: (Type "mu_r" for the symbol μ,, e.g. mu_r not = mu_u for the me u_r > mu_u for the rural mean is larger, mu_r< mu_u, for the rural mean is smaller.) -0 =

ive a life expectancy of x = 71.5 years with a standard deviation of s, = 6.6 years. A sample of 6 people from la = 74.3 years and su = 9.52 years. Does this provide evidence that people living in rural Idaho communities hav xpectancy than those in more urban communities? Use a 1% level of significance. ) State the null and alternative hypotheses: (Type "mu_r" for the symbol μ,, e.g. mu_r not = mu_u for the me u_r > mu_u for the rural mean is larger, mu_r< mu_u, for the rural mean is smaller.) -0 =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 

A study is conducted using newspapers from urban and rural towns in Idaho to explore differences in life expectancy. A sample of 16 people from rural towns yields a life expectancy (\( \bar{x}_r \)) of 71.5 years with a standard deviation (\( s_r \)) of 6.6 years. A sample of 6 people from larger towns yields a life expectancy (\( \bar{x}_u \)) of 74.3 years, with a standard deviation (\( s_u \)) of 9.52 years. The study seeks to determine if rural Idaho communities have different life expectancies compared to more urban communities, using a 1% level of significance. (a) State the null and alternative hypotheses: - \( H_0 = \) - \( H_a = \) (b) The degree of freedom is: \(\_\_\_\) (c) The test statistic is: \(\_\_\_\) (d) Based on this data, Mike concludes: - A. There is not sufficient evidence to show that life expectancies are different for rural and urban communities. - B. 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.
Transcribed Image Text:A study is conducted using newspapers from urban and rural towns in Idaho to explore differences in life expectancy. A sample of 16 people from rural towns yields a life expectancy (\( \bar{x}_r \)) of 71.5 years with a standard deviation (\( s_r \)) of 6.6 years. A sample of 6 people from larger towns yields a life expectancy (\( \bar{x}_u \)) of 74.3 years, with a standard deviation (\( s_u \)) of 9.52 years. The study seeks to determine if rural Idaho communities have different life expectancies compared to more urban communities, using a 1% level of significance. (a) State the null and alternative hypotheses: - \( H_0 = \) - \( H_a = \) (b) The degree of freedom is: \(\_\_\_\) (c) The test statistic is: \(\_\_\_\) (d) Based on this data, Mike concludes: - A. There is not sufficient evidence to show that life expectancies are different for rural and urban communities. - B. 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.
Expert Solution
Step 1: Given Information:

According to guidlines we can strickly answer three subsparts

Rural town:

Sample size n subscript r equals 16

Sample mean x with bar on top subscript r equals 71.5

Sample standard deviation s subscript r equals 6.6

Urban town:

Sample size n subscript u equals 6

Sample mean x with bar on top subscript u equals 74.3

Sample standard deviation s subscript u equals 9.52

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