The sample mean $\hat x$ is a consistent estimator of the population mean $\mu$ .

Name: The sample mean $\hat x$ is a consistent estimator of the population mean $\mu$ .
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Quizplus · Accepted Answer

The sample mean is an unbiased estimator of the population mean and as the sample size increases, the variability of the estimator decreases. Thus, with a sufficiently large sample size, the sample mean can become arbitrarily close to the population mean, making it a consistent estimator.

The Sample Mean x^\hat xx^ Is a Consistent Estimator of the Population Mean

The Sample Mean $\hat x$ Is a Consistent Estimator of the Population Mean