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A sample of 100 scores has a mean of 62, a variance of 95, and an...

A sample of 100 scores has a mean of 62, a variance of 95, and an estimated standard error of 5. Which of these values is guaranteed to decrease if the sample size is increased to 110?

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Answer #1

A sample of 100 scores has a mean of 62, a variance of 95, and an estimated standard error of 5.

Now, the sample size is increased to 110.

We know, that the formula of standard error estimate is given by

Where, sigma is the population variance and n is the sample size.

So, the standard error is inversely proportional to the sample size.

So, when the sample size is increased from 100 to 110, then the standard error must decrease.

The answer is

The standard error is guaranteed to decrease, if the sample size is increased to 110.

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