The estimated standard error, sM, provides a measure of the average or standard distance between _____.
a score and the population mean (X and ì)
a sample mean and the population mean (M and ì)
a score and the sample mean (X and M)
None of the other options is correct.
a sample mean and the population mean
The estimated standard error, sM, provides a measure of the average or standard distance between a sample mean (M) and the population mean (ì).
To calculate the estimated standard error, you would need to have the standard deviation of the population (S) and the sample size (n). The formula to calculate the estimated standard error is:
sM = S / √n
This formula represents the standard deviation of the distribution of sample means. It tells us how much variation we can expect in the sample means if we were to repeatedly take samples from the population.
By knowing the estimated standard error, we can determine how close or how far a sample mean (M) is likely to be from the population mean (ì). A smaller standard error indicates that the sample mean is on average closer to the population mean, while a larger standard error indicates greater variability or distance between the sample mean and the population mean.
Therefore, the estimated standard error (sM) measures the average or standard distance between a sample mean (M) and the population mean (ì).