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An automobile manufacturer claims that its car has a 42.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for

An automobile manufacturer claims that its car has a 42.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 300 cars, they found a mean MPG of 42.6 Assume the variance is known to be 5.29. A level of significance of 0.02 will be used. State the hypotheses.

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