Question

question 1 2 pts the sample mean is a _______ of the population mean. which of the following is not true? sample estimate best possible point - estimate unbiased estimator biased estimator

Explanation:

The sample mean is a sample estimate of the population mean. It is also the best possible point - estimate and an unbiased estimator (since \(E(\bar{X})=\mu\), where \(\bar{X}\) is the sample mean and \(\mu\) is the population mean). A biased estimator would have \(E(\hat{\theta})
eq\theta\) (where \(\hat{\theta}\) is the estimator and \(\theta\) is the parameter). Since the sample mean is unbiased (\(E(\bar{X}) = \mu\)), the statement that it is a biased estimator is not true.

Answer:

Biased estimator