Let X∼U(0,20) and assume we take a sample of size 100 from this population distribution. What distribution would the sample mean (¯X=1100∑100i=1X i) follow?
a. X∼N(10,3.33) approximately according to the central limit theorem
b. X∼U(0,2) c. X∼U(0,20) d. X∼N(10,0.333) approximately according to the central limit theorem