Question: Billy Shagger, the golf pro at the Prescott Olde and Ancient Golf Course ( it’s not that old but folks there like to think golf was invented there ) has been watching and charting just how long it takes golfers to play an 18-hole game of golf. He knows that from experience it take a foursome (four players) about 275 minutes to play with a standard deviation of 14 minutes . He watched 8 foursomes ( 32 players ) , (one of the foursomes was let by Mayor Davidson, (which may account for it taking so long; if only he would shut up!) play last week and he found that they took some 284 minutes to play. What is the probability of seeing this high of a mean? Develop the null and research hypothesis and show your work.

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