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 mean is Select one: a. less than 2 b. 2 c. greater than 2 d. 3

The standard error of the mean is 2.

given,

Number of sample is 49.

The standard deviation of sample is 14.

We know that, the standard error of the mean is calculated by dividing the standard deviation by the square root of sample selected.

Here is the standard deviation and n is the number of sample.

So,

.

Hence the correct option will be (b). 2

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b. 2

Step-by-step explanation:

The Central Limit Theorem is important to solve this question.

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation . This standard deviation, of the sample, is also called standard error of the mean.

In this problem, we have that:

The standard error of the mean is

So the correct answer is:

b. 2

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !