If random variables X1 X2 X3 Xn follows Uniform010 distribu

If random variables X1, X2, X3, ... Xn follows Uniform(0,10) distribution, the mean (of X1, X2, X3, ... Xn) will be approximately normally distributed. This approximation improves with larger samples.

True

False

Solution

TRUE.

According to central limit theorem, for ANY distribution, and that includes uniform distribution, the distribution of the sample means will be approximately normally distributed if repeated many times. Thus, the approximation improves with larger samples.