Question

Suppose that a random variable X is exponentially distributed with a mean of 13.3. Find the standard deviation of the distribution of the sample mean of a random sample of size 22.

Answer 1

Solution:

X follows exponential distribution with

mean = 13.3

So ,

variance ² = (13.3)² = 176.89

Suppose , sample size n = 22

The standard deviation of the distribution of the sample means

=

=

=

= 2.8356