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Does it matter what kind of tee a golfer places the ball​ on? A company that...

Does it matter what kind of tee a golfer places the ball​ on? A company that manufactures golf tees claims that the thinner shaft and smaller head of their tee will lessen resistance and​ drag, reducing spin and allowing the ball to travel farther. A golfing research facility compared the distance travelled by golf balls hit off regular wooden tees to those hit off the new tees. All the balls were struck by the same golf club using a robotic device set to swing the club head at approximately 95 miles per hour. Six balls were used on each type of tee. If we wanted the margin of error in the estimate of the mean difference to be just 0.9 ​yard, with​ 95% confidence, how many balls should have been struck off each type of​ tee? Be conservative and set each standard deviation to 2.8 yards.

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