if random sample are selected from a normal population with a s=10 and the distrubtion of sample means has a standard error of 5pts, How large was the sample size?

Answer 1

The standard error of the sample means can be calculated using the formula:

Standard Error = Population Standard Deviation / √Sample Size

In this case, the standard error is given as 5 points and the population standard deviation is given as 10 points. Let's substitute these values into the formula:

5 = 10 / √Sample Size

Now, let's solve for the sample size:

√Sample Size = 10 / 5

√Sample Size = 2

Squaring both sides:

Sample Size = 4

Therefore, the sample size is 4.