Question

A sample of 90 people is taken from a population. The standard deviation of the sample is 34.4. What is the approximate value of the standard error of the sampling distribution? Round your answer to two decimal places.

Answer choices:
2.53
3.63
4.73
5.83

Answer 1

The approximate value of the standard error of the sampling distribution is 3.63.

Explanation:

We are given that a sample of 90 people is taken from a population. The standard deviation of the sample is 34.4.

Firstly, Standard error basically tells us that how much sample mean is deviated from the actual or true mean of the population.

It is most useful in constructing a confidence interval about population parameters.

Now, as we know that the formula for finding standard error is given by;

Standard error =
`(s)/(√(n) )`

where, s = standard deviation = 34.4

n = sample size of people = 90

So, Standard error of the sampling distribution =
`(34.4)/(√(90) )`

= 3.63.