5.2 Harvey Motorcars Harvey Motorcars is the new Fiat dealer in Edinburg, Texas. Harvey Motorcars has been regularly advertising in its local markets area that the new Fiat 500 average 30 miles to a gallon of gas and mentions that this figure may vary with driving conditions. A local consumer group wishes to verify the advertising claim. To do so, it selects a sample of recent purchasers of Fiat 500. It asks them to drive their cars until two tanks of gasoline have been used up and to record the mileage. The group then calculates and records the miles per gallon for each year. The data in the following table portray the results of the tests. Table1. Miles per Gallon Information Purchaser Miles per Gallon Purchaser Miles per Gallon 30.9 13 27.0 2 24.5 14 26.7 3 31.2 15 31.0 4 28.7 16 23-5 5 35.1 17 29.4 6 29.0 18 26.3 7 28.8 19 27-5 8 23.1 20 28.2 9 31.0 21 28.4 10 30.2 22 29.1 11 28.4 23 21.9 12 29.3 24 30.9 Questions 1. Formulate a statistical hypothesis appropriate for the consumer group's purpose. 2. Calculate the mean average miles per gallon. Compute the sample variance and sample standard deviation. 3. Construct the appropriate statistical test for your hypothesis, using a 0.05 significance level