An automobile manufacturer claims that their car has a 48.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 9 cars they found a mean MPG of 49.1 with a standard deviation of 1.2 MPG. Is there sufficient evidence at the 0.05 level that the cars have an incorrect manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
An automobile manufacturer claims that their car has a 48.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car.
After testing 9 cars they found a mean MPG of 49.1 with a standard deviation of 1.2 MPG. Is there sufficient evidence at the 0.05 level that the cars have an incorrect
manufacturer's MPG rating?
State the null and alternative hypotheses for the above scenario.
Transcribed Image Text:An automobile manufacturer claims that their car has a 48.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 9 cars they found a mean MPG of 49.1 with a standard deviation of 1.2 MPG. Is there sufficient evidence at the 0.05 level that the cars have an incorrect manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario.
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