Case Example: The Mean Height
of UCLA Basketall Players

We will use the UCLA basketball program as an example of a normally distributed population from which large samples are difficult to attain.  Let's suppose that we are testing the hypothesis that the average height for all players who have ever played the game for UCLA is less than or equal to six feet, four inches (76") tall.  We surveyed the height of 15 players, which yielded the following results:

: = 77.5"

s : = 5.6

We now have enough infomation to conduct a hypothesis test using the t-distribution.