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AP Statistics/Unit 5: Sampling Distributions
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Central Limit Theorem And Medians
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In a computer simulation to examine the sampling distribution of medians from a skewed population, a researcher used a fixed sample size of $$5$$ per trial, despite recommendations that a larger sample size (at least $$30$$) is needed for the central limit theorem to provide reliable approximations. What mistake did the researcher commit in their simulation design?

A

They used a sample size that was too small, which undermines the reliability of the sampling distribution approximation governed by the central limit theorem.

B

They misinterpreted the simulation results by confusing the median with the mean.

C

They mistakenly set the simulation parameters to compute averages of maximum values instead of medians.

D

They calculated the median incorrectly by failing to sort the data before determining the middle value.

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