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.

Answer 1

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

What is sampling distribution of a statistic

The sampling distribution of a statistic refers to the distribution of that statistic over many samples taken from the same population.

It helps us understand the variability of the statistic and provides insights into how much we can expect the sample statistic to vary from sample to sample.

Answer 2

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

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.