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1 Hypothetically, a distribution of means can be constructedby calculating the m

ID: 2954277 • Letter: 1

Question

1

Hypothetically, a distribution of means can be constructedby

calculating the mean of all the possible samples and dividing itby the variance.

using the sample's mean and variance divided by the population'sparameters.

randomly estimating the population variance from the varioussamples.

randomly taking a very large number of samples from apopulation, each of the same size, and making a distribution oftheir means.

2

The mean of a distribution of means is

the square root of the original population mean.

the original population mean divided by the sample size.

the same as the original population mean.

the sample mean multiplied by the variance.

3

The variance of a distribution of means is

smaller than the original population variance.

the same as the original population variance.

greater than the original population variance.

unrelated to the original population variance.

4

The standard deviation of a distribution of means is

calculated by subtracting the variance from the sample mean andtaking its square-root.

the square root of the variance of the distribution ofmeans.

the population variance divided by the N in each sample.

the same as the square root of the sample variance.

5

In general, the shape of a distribution of means tends to be

unimodal, symmetrical.

bimodal, symmetrical.

unimodal, skewed.

rectangular, symmetrical.

calculating the mean of all the possible samples and dividing itby the variance.

using the sample's mean and variance divided by the population'sparameters.

randomly estimating the population variance from the varioussamples.

randomly taking a very large number of samples from apopulation, each of the same size, and making a distribution oftheir means.

Explanation / Answer

1. using the sample's mean and variance divided by thepopulation's parameters. 2.the original population mean divided by the samplesize. 3. smaller than the original population variance. 4. unimodal, symmetrical.