If the standard deviation for the population is 15 and we repeatedly draw samples of 25 observations each, the resulting sample means will have a standard error of...
Question
If the standard deviation for the population is 15 and we repeatedly draw samples of 25 observations each, the resulting sample means will have a standard error of...
Solution
The standard error (SE) of the mean for a sample is the standard deviation of the population divided by the square root of the sample size.
Given: Standard deviation (σ) = 15 Sample size (n) = 25
The formula for standard error is:
SE = σ / √n
Substituting the given values into the formula, we get:
SE = 15 / √25
SE = 15 / 5
Therefore, the standard error of the sample means is 3.
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