A population has a standard deviation ó of 28 units. (Give your answers correct to two decimal places.)
(a) Find the standard error for the mean if n = 10.
SD/Sqrt of N = 28/10^=.28
To find the standard error for the mean, you can use the formula:
Standard Error = Standard Deviation / Square Root of Sample Size
In this case, the population standard deviation is 28 units, and the sample size is 10.
So, plugging in the values, we have:
Standard Error = 28 / sqrt(10)
To calculate this, you divide the standard deviation (28) by the square root of the sample size (10). Taking the square root of 10 gives you approximately 3.1622.
Thus,
Standard Error ≈ 28 / 3.1622 ≈ 8.85
Therefore, the standard error for the mean, when the sample size is 10, is approximately 8.85 units.