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Unformatted text preview: to believe that miles per gallon on each tank of gas is an independent normal variable with a standard deviation of 3. a. If the manufacturers claim is true, what is the probability of a sample mean less than or equal to the one you observed? b. After you turn in your report, you regret not having been able to make more con f dent statements about the validity of the manufacturers claim. You decide that, in future tests of other cars, if the sample mean is at least 1 mile per gallon less than the manufacturers claim, you would like to reject the claim. How many tankfuls must you sample in a future test to make the probability less than 0.05 that you reject a claim when in fact it is true? Continue to assume that miles per gallon on a tank of gas is independently, normally distributed with a standard deviation of 3. 1...
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- Fall '09