Exam 8: Sampling Methods and the Central Limit Theorem

The size of the standard deviation of the sampling distribution of the mean relative to the standard deviation of the population under study is __________.

In practice, researchers collect a sample of size "n" and compute point estimates of population parameters. How can sampling error be reduced?

We can expect some difference between sample statistics and the corresponding population parameters. This difference is called the sampling error.

The central limit theorem states that for a sufficiently large sample the sampling distribution of the means of all possible samples of size n generated from the population will be approximately normally distributed with the mean of the sampling distribution equal to σ² and the variance equal to σ^2/n.

What is the difference between a sample mean and the population mean called?

The weight of trucks traveling on a particular section of I-475 has a population mean of 15.8 tons and a population standard deviation of 4.2 tons. What is the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less?

All possible samples of size n are selected from a population and the mean of each sample is determined. What is the mean of the sample means?

How many different samples of size 4 can be selected from a population of size 8?

The ___________ sampling method is best to use if the population can be divided into two or more homogeneous subgroups.

A total of _______ different samples of size 3 can be collected from a population of 10 items.

In the sampling distribution of the sample means, the standard error of the mean will vary according to the size of the sample. As the sample size, n, gets larger, the variability of the sampling distribution of the means gets larger.

According to the central limit theorem, _______________.

What are the two population parameters that specify the location and dispersion for the sampling distribution of the mean?

When dividing a population into subgroups so that a random sample from each subgroup can be collected, what type of sampling is used?

Sampling a population is often necessary because the cost of studying all the items in the population is prohibitive.

For a population that is not normally distributed, the distribution of the sample means will ________.

In cluster sampling, a population is divided into subgroups called clusters and a sample is randomly selected from each cluster.