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# A CAR MANUFACTURER CLAIMS THAT ITS VEHICLES AVERAGE AT LEAST 28 MILES PER GALLON

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Author: Christine Farr
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http://theperfecthomework.com/a-car-manufacturer-claims-that-its-vehicles-average-at-least-28-miles-per-gallon/

A car manufacturer claims that its vehicles average at least 28 miles per gallon. Suppose, in fact,the cars only get 26.5 miles per gallon on average, with a population variance of 1. For anappropriate hypothesis test at a .975 confidence level, what is the power of a test of thecompany’s claim using a sample size of 4 cars?
a. .1492              b. .4658           c. .6543            d. .8508            e. .9236
Suppose amongst all the families on a Caribbean Cruise, the population variance of the number ofchildren per family is 4. If we were to take a sample of 10 families, then the probability is .9 thatthe sample variance is less than ___. (Hint: Use the χ2 distribution.)
a. 6.53                b. 9.45                  c. 14.7               d. 16.2                  e. 17.8

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