SOLUTION: 2. A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of
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Question 143140: 2. A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles.
a. Set up the null and alternative hypotheses to test if the mean distance from residence to birthplace for people living in your city differs from the census report.
b. Test your hypothesis using α = 0.01.
c. Find the p value.
d. Based on the results of the study, what can you conclude?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles.
a. Set up the null and alternative hypotheses to test if the mean distance from residence to birthplace for people living in your city differs from the census report.
Ho: u = 50
Ha: u is not equal to 50
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b. Test your hypothesis using α = 0.01.
z(56) = (56-50)/[15/sqrt(49)] = 2.8
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c. Find the p value.
p-value is 2P(2.8 < z < 10) = 2(0.002556...) = 0.00511...
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d. Based on the results of the study, what can you conclude?
Since p-value is less than 1%, reject Ho.
The mean travel distance is not equal to 50.
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Cheers,
Stan H.
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