APFIVE In a manufacturing quality control experiment, a researcher aimed to estimate the maximum weight of items by sampling and taking the maximum value from each sample. Believing that the average of these sample maximums would equal the true population maximum, the researcher concluded that the estimator was unbiased. What mistake did the researcher make in interpreting the sampling distribution of the maximum?
They erroneously assumed that the sample maximum is an unbiased estimator of the population maximum, ignoring that it is typically biased and tends to underestimate the true maximum.
They ignored outlier values, thereby skewing the interpretation of the sample maximum.
They misapplied the formula for variance, leading to an erroneous calculation of the spread around the maximum.
They confused the sample maximum with the median of the distribution, leading to an incorrect inference.
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