Dr. Otten wants to determine whether his sample of basketball players makes significantly more or less than 7.5 of their free throws (out of a set of 15 attempts, on average). He collects a sample of 12 players, and asks them to each shoot 15 free throws.

Among the 12 players, the mean number of free throws made is 5.167, and the standard deviation is 2.758.

Based on the data above, conduct the test that Dr. Otten wanted to do. What is your conclusion?

Note: the critical value for a t distribution with

= .05 and 11 degrees of freedom is 2.201.