If Random Variable X Is Distributed According to a Uniform

Multiple Choice

If random variable X is distributed according to a uniform distribution between 0 and 1 (X ~ U[0,1]) ,and 100 random samples of sizes 35-40 were taken,the standard deviation of the sample means would be ______.

A) undetermined; there is not enough information to answer
B) between 0.0142 and 0.0151
C) between 0.0132 and 0.0141
D) between 0.0122 and 0.0131
E) between 0.0112 and 0.0121