True or False
The mean for a sample of n = 4 scores has a standard error of 5 points. This sample was selected from a population with a standard deviation of ċ = 20.
What is your question?
is this statement true or false.
To determine whether the statement is true or false, we need to calculate the standard error of the mean given the sample size and the population standard deviation.
The standard error of the mean (SE) is calculated using the formula:
SE = σ / √n
Where:
- σ is the population standard deviation
- √n is the square root of the sample size
In this case, the sample size (n) is 4 and the population standard deviation (σ) is 20. Plugging these values into the formula:
SE = 20 / √4
SE = 20 / 2
SE = 10
The result is a standard error of 10, not 5 as stated in the statement. Therefore, the statement is false. The correct standard error of the mean for this sample size and population standard deviation is 10 points.