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 3 4 T 4 4 6 4 2 4 4 Price of a Big Mac in New York dollars 4 8 5 3 6 3 8 4 4 2 4 4 Price of a Big Mac in West Virginia dollars 5 2 4 6 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