Question V: Test for difference between population means: popu- lation standard deviations are assumed to be equal but unknown The company produces two different types of cars. Some cars are randomly and independently selected from each type and tested for fuel economy for determining the miles travels using 1 gallon of gas. The test results are as follows: Туре One 12 Туре Two 10 Sample size Sample mean Sample standard deviation 31 27 3 4 Assuming two populations standard deviations are equal but unknown, test the hypothesis that Type One cars have a higher mileage than Type Two cars, using 5% level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question V: Test for difference between population means: popu-
lation standard deviations are assumed to be equal but unknown
The company produces two different types of cars. Some cars are randomly and independently
selected from each type and tested for fuel economy for determining the miles travels using 1 gallon
of gas. The test results are as follows:
Туре One
12
Type Two
Sample size
Sample mean
Sample standard deviation
10
31
27
3
4
Assuming two populations standard deviations are equal but unknown, test the hypothesis that Type
One cars have a higher mileage than Type Two cars, using 5% level of significance.
Transcribed Image Text:Question V: Test for difference between population means: popu- lation standard deviations are assumed to be equal but unknown The company produces two different types of cars. Some cars are randomly and independently selected from each type and tested for fuel economy for determining the miles travels using 1 gallon of gas. The test results are as follows: Туре One 12 Type Two Sample size Sample mean Sample standard deviation 10 31 27 3 4 Assuming two populations standard deviations are equal but unknown, test the hypothesis that Type One cars have a higher mileage than Type Two cars, using 5% level of significance.
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