Suppose in a certain large group, the height is approximately normally distributed with a mean of 160 cm and the standard deviation is 10. For a sample of size 16, the sampling distribution of sample mean has standard error equal to:
2.5
The standard error (SE) of the sample mean is given by the formula:
SE = σ / √n,
where σ is the population standard deviation, and n is the sample size.
Substituting the values:
SE = 10 / √16 = 10 / 4 = 2.5.
Thus, the standard error is 2.5.
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