Question

The sampling distribbbution of the mean is defined as the

a. mean of sample data that follows a normal distribution distribution of the sample means of all possible samples of a certain size

b. mean of sample data that has been collected from a simple random sample distribution of data that has been collected from a simple random sample

Answer 1

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Explanation:

The sample distribution of the mean is basically a collection of the means of all sample data that have been randomly obtained full data/population.

Imagine a series of different sets of samples are randomly extracted from the full population. We then have a number of different sets of samples. If the mean of each sample set is then obtained, then the set of these means is the sampling distribution of the mean. So, if the full data is a normal distribution, then the sampling distribution of the mean too will be a normal distribution.

And the mean of this sampling distribution of the mean is simply called the mean of the sampling distributions of the mean.

So, in a sense, both statements provided above are both correct, but the option B is a more general definition.