Chapter Six Stats

The mean of the sampling distribution of sample means is equal to the population mean equal to the population variance both A and B none of the above

equal to the population mean

Which of the following allows researchers to use the standard normal distribution to estimate the probability of selecting sample means? the central limit theorem the skewed distribution rule the fact that sample means vary minimally from the population mean the fact that increasing sample size will decrease standard error

the central limit theorem

What does it mean to say that the sample mean is an unbiased estimator of the population mean? The sample means will vary minimally from the population mean. The sampling distribution of possible sample means is approximately normally distributed, regardless of the shape of the distribution in the population. If we select a sample at random, then on average we can expect the sample mean to equal the population mean. all of the above

If we select a sample at random, then on average we can expect the sample mean to equal the population mean.

Regardless of the distribution of the population, the sampling distribution of sample means will be approximately normally distributed. What characteristic of the mean explains this? unbiased estimator central limit theorem minimal variance none of the above

central limit theorem

What is the central limit theorem? It explains that sample means will vary minimally from the population mean. It explains that a sampling distribution of possible sample means is approximately normally distributed, regardless of the shape of the distribution in the population. It explains that if we select a sample at random, then on average we can expect the sample mean to equal the population mean. all of the above

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

A researcher randomly selects a sample of athletes and reports that their average score on a health and fitness scale is 23. Based on the characteristics of the sample mean, what does this say about the mean in the population? Nothing; it was just a sample. There is no way to know without knowing the size of the sample. We expect that the population mean is equal to 23 because the sample mean is an unbiased estimator of the population mean.

We expect that the population mean is equal to 23 because the sample mean is an unbiased estimator of the population mean.

A sampling distribution of the sample mean or variance is a distribution of all measures that could be obtained in a given sample of a given size a distribution of all scores that could be obtained in samples of a given size from one or more populations a distribution of all scores that could be obtained in a population a distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population

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

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 a conditional procedure a sampling distribution sampling without replacement random sampling

a sampling distribution

In terms of characterizing samples, statistical theory was developed using a sampling strategy in which the order of selecting participants matters the same participant can be selected twice in the same sample participants are replaced after being sampled all of the above

all of the above

A researcher increases the sample size, which will: increase the value of standard error decrease the value of standard error reduce variability in the population increase variability in the population

decrease the value of standard error

As sample size increases, the standard error of the mean increases decreases can increase or decrease does not change

decreases

Which type of sampling is most often applied by researchers in the behavioral sciences? theoretical sampling normal sampling experimental sampling standard normal sampling

experimental sampling

It happens to be the case that the standard error of the sampling distribution of sample means is minimal is approximately equal to that in the population gets larger as the sample size increases both A and C

is minimal

Suppose you select a sample of three people from a population of four (A, B, C, D). Which of the following samples is possible using the experimental sampling strategy? persons A, C, and A persons A, D, and D persons B, C, and D persons B, A, and B

persons B, C, and D

Experimental research is typically conducted using a sampling strategy in which the order of selecting participants matters the same participant can never be selected twice in the same sample participants are replaced after being sampled all of the above

the same participant can never be selected twice in the same sample