Suppose that the population standard deviation (ó) for a normally distributed standardized achievement test (ACT) is 6. What would the standard error of the sample mean (óxbar) be if we were to draw a random sample of 36 test scores?

Standard Error = standard deviation divided by the square root of the sample size

To calculate the standard error of the sample mean (óxbar), you can use the formula:

óxbar = σ / √n

where σ is the population standard deviation and n is the sample size.

In this case, the population standard deviation (σ) is given as 6, and the sample size (n) is 36.

To find the standard error, substitute the values into the formula:

óxbar = 6 / √36

Calculating the square root of 36 gives us:

óxbar = 6 / 6

Simplifying the division:

óxbar = 1

Therefore, the standard error of the sample mean (óxbar) would be 1.