Suggest that mean should preferred over trimmed mean

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1. The ideal estimator of location would have a smaller standard error than any other estimator we might use. Explain why such an estimator does not exist.

2. Under normality, the sample mean has a smaller standard error than the trimmed mean or median. If observations are sampled from a distribution that appears to be normal, does this suggest that the mean should be preferred over the trimmed mean and median?

Reference no: EM131398662

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