Major league baseball claims that major league baseball games last 2 hours 56 minutes on average. (176 minutes) You are considering buying Atlanta Braves season tickets but are worried that the average game may be too long. You decide to focus on the last five years. You pick 45 games at random and find the sample average length of game is 3 hours 7 minutes (187 minutes) with a standard deviation of the sample at 26 minutes. Is there convincing evidence that the mean time of a baseball game is more than 176 minutes? Carry out a test of significance and include every step you need.