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The sampling distribution of a statistic is (select the best answer): The mechan

ID: 3131611 • Letter: T

Question

The sampling distribution of a statistic is (select the best answer):

The mechanism that determines whether the random sampling was effective.

A normal curve, for which probabilities are obtained by standardizing.

A distribution of all parameters from the population that is to be randomly sampled.

A distribution of a single statistic from repeated random samples of the same size, from the same population.

A distribution of all possible summary statistics from a single random sample, from the same population.

a.

The mechanism that determines whether the random sampling was effective.

b.

A normal curve, for which probabilities are obtained by standardizing.

c.

A distribution of all parameters from the population that is to be randomly sampled.

d.

A distribution of a single statistic from repeated random samples of the same size, from the same population.

e.

A distribution of all possible summary statistics from a single random sample, from the same population.

Explanation / Answer

The sampling distribution of a statistic is:

e.

A distribution of all possible summary statistics from a single random sample, from the same population.

The sampling distribution of a statistic is the distribution of that statistic, which is considered as a random variable, when derived from a random sample of size n through random sampling. It may be considered as the distribution of the statistic for all possible samples from the same population of a given size.

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