Solve the Problem $$s \sqrt { n - 1 }$$ Of the Mean

Multiple Choice

Solve the problem.
-For any data set of n values with standard deviation s, every value must be within $$s \sqrt { n - 1 }$$ of the mean. In a class of 15 students, the heights of the students have a mean of 66.8 inches and a standard deviation of 3.1 inches. The tallest student in class, a hopeful member of the basketball team, claims to be 77.5 inches tall. Could he be telling the truth?

A) No
B) Yes