According to the Environmental Protection Agency, the mean miles per gallon of all large cars manufactured in 2012 driven under highway driving conditions is 25.1 mpg. A researcher claims that a new fuel additive will increase the miles per gallon of cars. After obtaining a random sample of 35 large cars from 2012, the researcher adds the fuel additive. The sample mean is found to be 26.8 mpg, with a standard deviation of 3.9. Test the researcher's claim at the .05 level of significance.
Accepted Solution
A:
Step 1: Writing Null and Alternate Hypothesis
First we need to write the Null and Alternate Hypothesis for this problem.
Researcher claims that mileage will be increased on addition of Fuel additive. So the null and alternate hypothesis will be: