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Standard error is always non-negative.

Question

Standard error is always non-negative.

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Solution

Yes, the statement is correct. The standard error is always non-negative. This is because it is derived from the standard deviation, which is a measure of dispersion in a dataset. Since dispersion cannot be negative, neither can standard error. It is a measure of the statistical accuracy of an estimate, and it quantifies the uncertainty in the estimate. The larger the standard error, the less certain we are about the accuracy of our estimate.

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