# Question

Manufacturers of two competing automobile models, Gofer and Diplomat, each claim to have the lowest mean fuel consumption. Let µ1 be the mean fuel consumption in miles per gallon (mpg) for the Gofer and µ2 the mean fuel consumption in mpg for the Diplomat. The two manufacturers have agreed to a test in which several cars of each model will be driven on a 100-mile test run. Then the fuel consumption, in mpg, will be calculated for each test run. The average of the mpg for all 100-mile test runs for each model gives the corresponding mean. Assume that for each model the gas mileages for the test runs are normally distributed with σ = 2 mpg. Each car is driven for one and only one 100-mile test run.

a. How many cars (i.e., sample size) for each model are required to estimate µ1 – µ2 with a 90% confidence level and with a margin of error of estimate of 1.5 mpg? Use the same number of cars (i.e., sample size) for each model.

b. If µ1 is actually 33 mpg and µ2 is actually 30 mpg, what is the probability that five cars for each model would yield

a. How many cars (i.e., sample size) for each model are required to estimate µ1 – µ2 with a 90% confidence level and with a margin of error of estimate of 1.5 mpg? Use the same number of cars (i.e., sample size) for each model.

b. If µ1 is actually 33 mpg and µ2 is actually 30 mpg, what is the probability that five cars for each model would yield

## Answer to relevant Questions

Maria and Ellen both specialize in throwing the javelin. Maria throws the javelin a mean distance of 200 feet with a standard deviation of 10 feet, whereas Ellen throws the javelin a mean distance of 210 feet with a standard ...Refer to Exercise 10.56, in which a random sample of six cars was selected to test a gasoline additive. The six cars were driven for 1 week without the gasoline additive and then for 1 week with the additive. The data ...A sample of 500 male registered voters showed that 57% of them voted in the last presidential election. Another sample of 400 female registered voters showed that 55% of them voted in the same election. a. Construct a 97% ...Home Mail Corporation sells products by mail. The company’s management wants to find out if the number of orders received at the company’s office on each of the 5 days of the week is the same. The company took a sample ...One hundred auto drivers who were stopped by police for some violations were also checked to see if they were wearing seat belts. The following table records the results of this survey. Test at a 2.5% significance level ...Post your question

0