All the possible samples of n = 3 scores are selected from a population with m = 30 and s = 5 and the mean is computed for each of the samples. If the average is calculated for all of the sample means, what value will be obtained?

Question

Mathematics

Stephen Fernandez

10 July, 14:23

All the possible samples of n = 3 scores are selected from a population with m = 30 and s = 5 and the mean is computed for each of the samples. If the average is calculated for all of the sample means, what value will be obtained?

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Answers (1)

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Rachael · Answer 1

30

Step-by-step explanation:

We know that population mean μ is 30 and population standard deviation σ is 5.

Further average or mean is computed for all sample means. So, the mean of sampling distribution of mean μxbar is calculated.

The property of sampling distribution is that mean of all possible sample means or mean of of sampling distribution of mean μxbar is equal to the population mean μ.

μxbar=μ=30

μxbar=30.

Thus, the obtained value will be 30.