Driving distance 2011 How far do professional golfers drive a ball? (For non-golfers, the drive is the shot hit from a tee at the start of a hole and is typically the longest shot.) Here’s a histogram...

Driving distance 2011 How far do professional golfers drive a ball? (For non-golfers, the drive is the shot hit from a tee at the start of a hole and is typically the longest shot.) Here’s a histogram of the average driving distances of the 186 leading professional golfers by end of November 2011 along with summary statistics (www.pgatour.com).

a) Find a 95% confidence interval for the mean drive distance.

b) Interpreting this interval raises some problems. Discuss.

c) The data are the mean driving distance for each golfer. Is that a concern in interpreting the interval?