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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.

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.

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 

A study was conducted using obituaries in newspapers from urban and rural towns in Idaho to determine if there is a difference in life expectancy. The research involved two samples: 1. A sample of 16 people from rural towns showed a life expectancy of \( \bar{x}_r = 71.5 \) years with a standard deviation of \( s_r = 6.6 \) years. 2. A sample of 6 people from larger towns showed a life expectancy of \( \bar{x}_u = 74.3 \) years with a standard deviation of \( s_u = 9.52 \) years. The goal is to determine if these statistics provide evidence that people living in rural Idaho communities have a different life expectancy than those in more urban communities. The analysis will be conducted using a 1% level of significance. **(a) State the null and alternative hypotheses:** - Null hypothesis (\( H_0 \)): (Input the hypothesis) - Alternative hypothesis (\( H_a \)): (Input the hypothesis) **(b) The degree of freedom is:** (Input the degree of freedom) **(c) The test statistic is:** (Input the test statistic)
Transcribed Image Text:A study was conducted using obituaries in newspapers from urban and rural towns in Idaho to determine if there is a difference in life expectancy. The research involved two samples: 1. A sample of 16 people from rural towns showed a life expectancy of \( \bar{x}_r = 71.5 \) years with a standard deviation of \( s_r = 6.6 \) years. 2. A sample of 6 people from larger towns showed a life expectancy of \( \bar{x}_u = 74.3 \) years with a standard deviation of \( s_u = 9.52 \) years. The goal is to determine if these statistics provide evidence that people living in rural Idaho communities have a different life expectancy than those in more urban communities. The analysis will be conducted using a 1% level of significance. **(a) State the null and alternative hypotheses:** - Null hypothesis (\( H_0 \)): (Input the hypothesis) - Alternative hypothesis (\( H_a \)): (Input the hypothesis) **(b) The degree of freedom is:** (Input the degree of freedom) **(c) The test statistic is:** (Input the test statistic)
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