Consumer Protection Agency Mathematics Question Help

Assume that you areworking for the Consumer Protection Agency and have recently been gettingcomplaints about the highway gas mileage of the new Dodge Caravans. ChryslerCorporation agrees to allow you to randomly select 40 of its new Dodge Caravansto test the highway mileage.

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Chrysler claims that theCaravans get 28 mpg on the highway. Your results show a mean of 26.7 and astandard deviation of 4.2. You support Chrysler’s claim.

1. Show whether or not you support Chrysler’s claim by listing theP-valuefrom your output. After more complaints, you decide to test the variability ofthe miles per gallon on the highway. From further questioning of Chrysler’squality control engineers, you find they are claiming a standard deviation ofno more than 2.1. Use a one-tailed test.

2. Test the claim about the standard deviation.

3. Write a short summary of your results and any necessary actionthat Chrysler must take to remedy customer complaints.

4. State your position about the necessity to perform tests ofvariability along with tests of the means.

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