The United States Golf Association (USGA) tests all new brands of golf balls to assure that they meet USGA specifications. One of the tests is intended to measure the average distance traveled when the ball is hit by a machine called “Iron Byron”, a name inspired by the swing of the famous golfer Byron Nelson. The USGA proceeded to test with the Iron Byron machine over 250 golf balls of a new type called Ballistic, recording the distance travelled of each one.
What distribution will the sample average of the distance travel follow?
They then calculated a sample mean and the following 90% confidence interval [335.1; 337.1] (in meters).
Based on USGA’s confidence interval they can conclude (select all that apply):
HINT: Remember that we build confidence intervals around sample means - not individual observations.