6. Each of the following statements are true, except that A) increasing the sample size will...

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6. Each of the following statements are true, except that A) increasing the sample size will decrease standard error B) the l

math Statistics-And-Probability

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Answer 1

Answer #1

Solution:

6. option A)increasing the sample size will decrease standard error

sd error = sd/sqrt(n).

Explanation:

This formula shows us that as , the sample size increases, the standard error decreases. That is, as the sample size gets larger, the standard error gets smaller. This makes sense - the more data we have, the more precise our estimate is.

Also notice that the larger the standard deviation in the population of the underlying variable, the larger the SE. Usually we don't know , and to estimate the standard error we plug in the sample standard deviation in place of the unknown (true) standard deviation

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