Question

In: Economics

Which of the following is a correct definition of a samplingdistribution?A) the distribution of...

Which of the following is a correct definition of a sampling distribution?

A) the distribution of an estimator (such as the sample mean, Y-bar) over all possible samples


B) the sum of n numbers divided by n; a measure of central tendency


C) a measure of the spread in the distribution of a random variable


D) the specification of the probabilities associated with a random variable (such as individual earnings)

Solutions

Expert Solution

the correct answer is option (a).

The distribution of an estimator (such as sample mean ,Y bar) over all possible samples.

because , the mean of the Sampling distribution of mean is the mean of the population from which the scores were sampled.

Option (b). Is wrong because it just shows the definition of mean and the formula how to calculate mean.

Option (c). Is wrong because it is the definition of standard deviation , which calculates the spread of the data .

Option (d). Is wrong because it shows specification of probabilities associated with random variables. And it also deals with individual data not aggregate.

Rahul Sunny answered 2 years ago
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