The mean score for golfers at the Country Oaks Golf course is ? = 83. The manager wonders if posting a red flag at hazard sites will improve scores. After posting the flags at all such sites, she obtains a random sample of 25 golfers whose mean was 81 with s = 5.73. Do the flags improve the golf scores? Use ?=0.05. Please show all 5 steps of the traditional method in the answer.