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 0.0456 and 0.0488
D)between 0.0122 and 0.0131
E)between 0.0466 and 0.0498

Question

Quizplus · Accepted Answer

The standard deviation of the sample means, also known as the standard error, is calculated as the population standard deviation divided by the square root of the sample size. For a uniform distribution U[0,1], the population standard deviation is 1/√12. For sample sizes between 35 and 40, the standard error will be between 0.0456 and 0.0488.

If Random Variable X Is Distributed According to a Uniform