A student wanted to determine if there was a difference in the price of a Big Mac in New York and West Virginia. The student randomly selected 12 Mcdonald's restaurants in New York and 10 Mcdonald's restaurants in West Virginia and called them and asked about the current price of a Big Mac. The data are shown below: New York: 5.12, 4.10, 4.95, 4.75, 4.55, 4.50, 5.05, 5.00, 3.99, 4.25, 3.90, 4.75 West Virginia: 4.00, 4.25, 3.90, 4.05, 4.10, 4.25, 3.45, 4.35, 3.70, 4.50 The dotplots of the data are shown. . . . . 3.8 4.2 4.4 4.6 4.8 5 5.2 Price of a Big Mac in New York (dollars) 3.4 3.6 3.8 4.2 4.4 4.6 Price of a Big Mac in West Virginia (dollars) (a) Construct and interpret a 95% confidence interval for the true difference in the mean price of a Big Mac for all Mcdonald's restaurants in New York and West Virginia. (b) Does the interval provide convincing evidence that the true mean price of a Big Mac for the two states are different? Explain