If a population has a standard deviation σ of 18.2 units, what is the standard error of the mean if samples of size 25 are selected? Show all work.
standard error of the mean = 0/sqrt(n)
= 18.2/sqrt(25)
= 18.2/5
=3.64
Answer 3.64
Right
To calculate the standard error of the mean, you can use the formula:
Standard Error = standard deviation / square root of sample size
In this case, the standard deviation (σ) is given as 18.2 units, and the sample size (n) is 25.
So, plugging in these values into the formula:
Standard Error = 18.2 / sqrt(25)
Taking the square root of 25, which is 5:
Standard Error = 18.2 / 5
Evaluating the division:
Standard Error = 3.64
Therefore, the standard error of the mean is 3.64 units.