Question: This is my homework problem that I need help with. Gamma Corporation is considering the installation of governors on cars driven by its sales staff.

This is my homework problem that I need help with.

"Gamma Corporation is considering the installation of governors on cars driven by its sales staff. These devices would limit the car speeds to a preset level, which is expected to improve fuel economy. The company is planning to test several cars for fuel consumption without governors for 1 week. Then governors would be installed in the same cars, and fuel consumption will be monitored for another week. Gamma Corporation wants to estimate the mean difference in fuel consumption with a margin of error of estimate of 2 mpg with a 90% confidence level. Assume that the differences in fuel consumption are normally distributed and that previous studies suggest that an estimate ofsd=3sd=3mpg is reasonable. How many cars should be tested? (Note that the critical value ofttwill depend onnn, so it will be necessary to use trial and error.)"

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