Question

From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the sample mean is ________.
a. 3b. 2c. greater than 2d. less than 2

Answer 1

Answer:

b. 2

Step-by-step explanation:

The standard error of the sample mean is the standard deviation of the sample divided by the square root of the size of the sample.

In this problem, we have that:

Sample standard deviation of 14, sample size of 49.

So

$SE_{M} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2$

So the correct answer is:

b. 2