The American Automobile Association reported in June 2011 that the mean price for a gallon of regular gasoline was $3.70. A random sample of 25 gas stations had a mean price of $3.50. Assume that the standard deviation for the price of all regular gasoline is $0.50. Using a significance level of .01, test the claim that the mean price for a gallon of regular gasoline is less than $3.70.