A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 17 families from a rural area and finds that they have an average income of $69899 with a standard deviation of $717. He then selects 10 families from a urban area and finds that they have an average income of $66383 with a standard deviation of $983. Perform a hypothesis test using a significance level of 0.10 to help him decide.
A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 17 families from a rural area and finds that they have an average income of $69899 with a standard deviation of $717. He then selects 10 families from a urban area and finds that they have an average income of $66383 with a standard deviation of $983. Perform a hypothesis test using a significance level of 0.10 to help him decide.
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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Transcribed Image Text:A researcher is interested in seeing if the average
income of rural families is different than that of urban
families. To see if his claim is correct he randomly
selects 17 families from a rural area and finds that they
have an average income of $69899 with a standard
deviation of $717. He then selects 10 families from a
urban area and finds that they have an average income
of $66383 with a standard deviation of $983. Perform a
hypothesis test using a significance level of 0.10 to help
him decide.
Expert Solution
Step 1
Given Information :
A researcher claim that average income of rural families is different that average income of urban families .
Let, μ1 denotes average income of rural families & μ2 denotes average income of urban families.
Notations :
Sample means :
Sample Standard deviations :
and the sample sizes are and .
To test the claim :
State the hypothesis :
Ho: =
Ha: ≠
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