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?
They used a sample size that was too small, which undermines the reliability of the sampling distribution approximation governed by the central limit theorem.
They misinterpreted the simulation results by confusing the median with the mean.
They mistakenly set the simulation parameters to compute averages of maximum values instead of medians.
They calculated the median incorrectly by failing to sort the data before determining the middle value.
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