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:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3