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Researches are interested in whether or not the average fuel economy for compact cars is the same as sedan cars. A sample of 36 compact cars and 25 sedan cars is taken. The sample of compacts returns a mean of ?X = 38 miles per gallon and sample variance of s^2 = 25. The sample of sedans returns a sample mean ?Y = 36 with a sample variance of s^2 = 49. Let ? 1 be the population mean of compacts and ? 2 for sedans. a. Create a 95% confidence interval for ? 1 . b. Now create a 95% confidence interval for ? 1 ? 2 . c. Say the interval from part b. contains 0. What can you say about the difference in the average fuel economy of compact cars versus economy cars
Researches are interested in whether or not the average fuel economy for compact cars is the
same as sedan cars. A sample of 36 compact cars and 25 sedan cars is taken.
The sample of compacts returns a mean of ?X = 38 miles per gallon and sample variance of s^2 = 25.
The sample of sedans returns a sample mean ?Y = 36 with a sample variance of s^2 = 49.
Let ? 1 be the population mean of compacts and ? 2 for sedans.
a. Create a 95% confidence interval for ? 1 .
b. Now create a 95% confidence interval for ? 1 ? 2 .
c. Say the interval from part b. contains 0. What can you say about the difference in the average
fuel economy of compact cars versus economy cars
