APFIVE Which of the following is an example of interpreting the results of a simulation that approximates the sampling distribution of the median, particularly when the underlying population is not normally distributed?
| Statistic | Simulated Shape |
|---|---|
| Median | Bell-shaped with slight skew |
| Mean | Roughly symmetric |
| Variance | Left-skewed |
Concluding that the sampling distribution of the median must be exactly normal because the underlying population is normal.
Observing that the sampling distribution of the median appears approximately bell-shaped, suggesting that repeated sampling yields a stable estimate even for non-normal data.
Assuming that the simulation results must perfectly match the shape of the underlying population distribution.
Observing that the median should be disregarded in favor of the mean for all inferential analysis.
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