The compressive strength of concrete is normally distributed with mu = 2500 psi and sigma = 50 psi. A random sample of n = 8 specimens is collected. What is the standard error of the sample mean? Round your final answer to three decimal places (e. g. 12.345). The standard error of the sample mean is [ ]psi.

Where and

We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:

And the standard error would be:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

Let X the random variable that represent the compressive strength of concrete of a population, and for this case we know the distribution for X is given by:

Where and

We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:

And the standard error would be:

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.