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?
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.