In: Statistics and Probability
The EPA sticker for a particular model of automobile claims the car has average highway mileage of 35 miles per gallon. A consumer advocacy group takes a random sample of 30 of these cars and finds that they have an average mileage of 33.6 miles per gallon with a standard deviation of 3 miles per gallon. Do the results of this test provide sufficient evidence to conclude that the actual mileage of this model is less than 35 miles per gallon? Translate this into a statistical hypothesis and carry out the test of hypothesis. Be sure to specify the null and alternative hypotheses, the value of the test statistic, the p-value, and your conclusion.