A car magazine makes the claim, "On average, there is no difference in gas mileage between automatic and manual transmission cars."
The gas mileage in miles per gallon (mpg) for 30 different cars was recorded for both types of transmissions. A summary of the data is given below.
d equals x subscript a u t o m a t i c end subscript minus x subscript m a n u a l end subscript
d with bar on top equals 0.87
s subscript d equals 2.92
n equals 30
Using this summary data, test the car magazine's claim using a significance level of 0.05.
Consider the following statements related to the car magazine's claim. Based on the results of your hypothesis test, which of these statements is true? Select the best choice.
At a significance level of 0.05, there is enough evidence to reject the car magazine's claim that, on average, there is no difference in gas mileage between automatic and manual transmission cars.
At a significance level of 0.05, there is not enough evidence to reject the car magazine's claim that, on average, there is no difference in gas mileage between automatic and manual transmission cars.
At a significance level of 0.05, there is not enough evidence to support the car magazine's claim that, on average, there is no difference in gas mileage between automatic and manual transmission cars.
At a significance level of 0.05, there is enough evidence to support the car magazine's claim that, on average, there is no difference in gas mileage between automatic and manual transmission cars.