The mean cost of a flank steak, broccoli, and rice bought at the grocery store is $12.75. A sample of 100 neighborhood restaurants showed a mean price of the same meal is $13.04. Assume a standard deviation of $2.00. At a .50 significance level, is the mean price to eat at a restaurant more than the mean price to purchase at a grocery store and cook at home? Show the six steps of hypothesis testing.