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7. A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a significant impact on the...
7. A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a significant impact on the average number of strokes for the 13th hole on a given golf course. Historically, the 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 1.8 strokes. On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. 36 golfers played the hole with the new placement on that day. Determine the probability that the sample average number of strokes is less than 4.10.
8. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.70 inches. A sample of 25 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 30.08 and 30.32 inches long?
