Chapter 7 Probability and Sampling Distributions

a sampling distribution

A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called

sampling with replacement

A researcher selects from a participant pool of 4 males and 6 females. He determines that the probability of selecting 2 male participants is p = 0.16. Based on this probability, what strategy did the researcher use to sample participants.

None, both samples will have the same value for standard error.

A researcher selects two samples of 25 participants each. In the first sample, the population mean was 32 and the variance was 8. In the second sample, the population mean was 4 and the variance was 8. Which sample will be associated with a larger standard error of the mean?

True

For the experimental sampling strategy, the order in which a participant is selected does not matter, and once selected, each participant is not replaced before sampling again.

Researcher A

The following samples were selected by two researchers. Which is associated with a smaller standard error of the mean? Researcher A: n = 18, μ = 8, σ = 2.4Researcher B: n = 12, μ = 8, σ = 2.4

normal; positively skewed

The shape of the sampling distribution of the mean is approximately ______, whereas the shape of the sampling distribution of the variance is approximately ______.

decrease the value of standard error

a researcher increases the sample size, which will:

when dividing SS by df and when dividing SS by n-1

the sample variance is an unbiased estimator of the population variance:

sample distribution

the standard error is the standard deviation for what type of distribution?

it explains that a sampling distribution of possible sample means is approximately normally distributed, regardless of the shape of the distribution in the population

what is the central limit theorem?

sample variances

what values are distributed along the x-axis for a sampling distribution of the sample variance?