If a population has a standard deviation ó of 25 units, what is the standard error of the mean if samples of size 100 are selected?
To determine the standard error of the mean, you can use the formula:
Standard Error of the Mean (SE) = Standard Deviation (ó) / √Sample Size (n)
In this case, the standard deviation (ó) is given as 25 units and the sample size (n) is 100.
So, you can substitute these values into the formula to calculate the standard error of the mean:
SE = 25 / √100
To calculate the square root of 100, you take the positive square root, which is 10:
SE = 25 / 10
Finally, you divide 25 by 10 to get the standard error of the mean:
SE = 2.5 units
Therefore, the standard error of the mean for samples of size 100 from a population with a standard deviation of 25 units is 2.5 units.