Help! I\'m finding conflicting answers... what effect does increasing the sample

Question

Help! I'm finding conflicting answers... what effect does increasing the sample size, n, have on the spread (variation) of the theoretical sampling distribution of the mean?
A) the spread of the theoretical sampling distribution gets smaller B) the spread of the theoretical sampling gets larger C) the spread of the theoretical sampling distribution gets closer to the spread of the population Help! I'm finding conflicting answers... what effect does increasing the sample size, n, have on the spread (variation) of the theoretical sampling distribution of the mean?
A) the spread of the theoretical sampling distribution gets smaller B) the spread of the theoretical sampling gets larger C) the spread of the theoretical sampling distribution gets closer to the spread of the population Help! I'm finding conflicting answers... what effect does increasing the sample size, n, have on the spread (variation) of the theoretical sampling distribution of the mean?
A) the spread of the theoretical sampling distribution gets smaller B) the spread of the theoretical sampling gets larger C) the spread of the theoretical sampling distribution gets closer to the spread of the population

Explanation / Answer

Note that the variation of the sampling distribution can be measured by the standard error, given by

standard error = z*s/sqrt(n)

As we can see, the standard error goes down with increasing n.

Thus,

OPTION A: The spread of the theoretical sampling distribution gets smaller. [ANSWER]

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