Exam 7: Probability and Sampling Distributions

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

As sample size increases,standard error decreases.

The sample variance is an unbiased estimator of the population mean when dividing SS by df.

A researcher selects from a participant pool of 4 males and 6 females.He determines that the probability of selecting 2 female participants is p = .30.Based on this probability,what strategy did the researcher use to sample participants.

A researcher selects a sample of size 6 from a population of size 10.How many possible samples of this size can be selected using theoretical sampling?

The sample mean is an unbiased estimator,follows the central limit theorem,and has minimum variance.

What is the central limit theorem?

A researcher selects a sample of 121 participants from a population with a mean of 32 and a standard deviation of 22.What is the standard error of the mean?

It happens to be the case that the standard error of the sampling distribution of sample means

Researchers typically sample with replacement,although the development of statistical theory was based on the use of sampling without replacement.

A researcher wants to select a sample of 30 participants from one of two populations.In Population A,the standard deviation is 12.In Population B,the standard deviation is 4.In this example,selecting a sample from Population A will produce the smallest standard error.

The mean of the sampling distribution of sample means is

The larger the population standard deviation,the smaller the standard error of the mean will be.

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?

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?

The standard error of the mean is the standard deviation in a sampling distribution of sample means.

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?

A z transformation can be computed to locate sample means in a sampling distribution.

A researcher increases the sample size,which will:

Without knowing a thing about the population variance,we can expect a randomly selected sample variance (sample variance = SS/df)to equal the population variance on average.