To find out the probability of the sample average number of strokes exceeding 4.750.
A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has the important impact on the average number of strokes for the 13th hole on a given golf course. Historically, 0 pin has been placed in the front right corner of the green and the historical mean number of strokes for the hole has been 4.25, with a standard deviation of 1.60 strokes. On a particular day during the most recent golf tournament, the organizer placed the whole (pin) in 0 back left corner of the green. 64 golfers played the hole with the new placement on that day. Find out the probability of the sample average number of strokes exceeding 4.750.