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Allstate would like to test the hypothesis that the average age of an imported car on the road is greater than the average age of a domestic car. The following data shows the sample size and the average age of cars for import and domestic cars along with the population standard deviations.
Domestic
Import
Sample mean
9.4 years
10.8 years
Sample size
33
36
Population standard deviation
3.2 years
2.8 years
Define Population 1 as import cars and Population 2 as domestic cars. Construct a 90% (0.10) confidence interval for the difference in population mean and interpret the results.
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