The Sample Mean Is an Unbiased Estimator of the Population

question 103

True/False

The sample mean is an unbiased estimator of the population mean µ, and (when sampling from a normal population) the sample median is also an unbiased estimator of µ. However, the sample mean is relatively more efficient than the sample median.

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Definitions:

Theodicy

An effort to explain how the existence of evil is compatible with the existence of God.

Paul Tillich

A German-American theologian and philosopher known for his works on existentialist philosophy and Christian existentialism, notably "The Courage to Be."

Act of Faith

A belief or trust in something that is not based on proof or empirical evidence, often used in religious contexts.

Religious Beliefs

The specific convictions or doctrines that individuals or groups hold concerning the divine or transcendent.