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.

Question

Mathematics

Janelle Yoder

11 April, 18:09

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.

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Answers (1)

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Siena · Answer 1

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

Step-by-step explanation:

The sampling distribution of a statistic:

By statistic we mean the characteristic of a sample. It may be sample mean, sample variance, sample std deviation, and so on.

By central limit theorem we have the mean of all samples taken at random from a population follow a normal distribution irrespective of the original distribution. Here we collect so many samples and find the statistic for all samples and find the distribution.

Hence the correct option is

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