1. 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 s² = 25. The sample of sedans returns a sample mean Ý 36 with a sample variance of s² = 49. μ2 for sedans. = Let ₁ be the population mean of compacts and a. Create a 95% confidence interval for ₁. b. Now create a 95% confidence interval for μ₁ - 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.

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1. 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.
= 25.
The sample of compacts returns a mean of X = 38 miles per gallon and sample variance of s²
36 with a sample variance of s² = 49.
The sample of sedans returns a sample mean Y
=
Let μ₁ be the population mean of compacts and µ₂ for sedans.
a. Create a 95% confidence interval for ₁.
b. Now create a 95% confidence interval for μ₁ - 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.
Transcribed Image Text:1. 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. = 25. The sample of compacts returns a mean of X = 38 miles per gallon and sample variance of s² 36 with a sample variance of s² = 49. The sample of sedans returns a sample mean Y = Let μ₁ be the population mean of compacts and µ₂ for sedans. a. Create a 95% confidence interval for ₁. b. Now create a 95% confidence interval for μ₁ - 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.
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