A car manufacturer states that its new model does 32.5 miles per gallon (mpg). A recent independent study of 50 of the new cars showed a mean mpg of only 30.4 with a standard deviation of 5.3 mpg....

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A car manufacturer states that its new model does 32.5 miles per gallon (mpg). A recent independent study of 50 of the new cars showed a mean mpg of only 30.4 with a standard deviation of 5.3 mpg. Test the view that the manufacturer’s claim is too high using a 1% level of significance.

Answered 141 days AfterDec 12, 2021

Answer To: A car manufacturer states that its new model does 32.5 miles per gallon (mpg). A recent independent...

Parvesh answered on May 03 2022

92 Votes

The null and alternative hypotheses are
H0: μ=32.5
Ha: μ>32.5
Here, the significance level is α=0.01, and the critical value for a right-tailed test is tc=2.405
The rejection region is R={t:t>2.405}
The t-statistic is

Clearly, t=−2.802≤tc=2.405, it is then concluded that the null...

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A car manufacturer states that its new model does 32.5 miles per gallon (mpg). A recent independent study of 50 of the new cars showed a mean mpg of only 30.4 with a standard deviation of 5.3 mpg....

Answer To: A car manufacturer states that its new model does 32.5 miles per gallon (mpg). A recent independent...

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