GW07 Sampling Distributions: Study Guide
Due in class on Monday, Jan 28.
Note:
Include each question
followed by its answer.
1 What is the relation between sample size and how well the sample represents
the population?
2 What is sampling error? How is it similar to "standard
deviation?"
3 What is a sampling distribution? What is the sampling
distribution of the mean?
4 How do sampling distributions differ from distributions of scores?
5 What are three "predictable and useful characteristics" of the distribution
of sample means?
6 State the Central Limit Theorem (CLT), and
note two facts which underscore its value.
7 What is the critical # of scores in a sample size such that the distribution
of sample means will be
"almost perfectly normal?"
8 What are the two conditions, either of which will ensure that
the distribution of sample means will
be normal?
9 When n > 30, what is the relation between the shape of the sampling
distribution of the means and
the shape of the original population?
10 What is the average value of all the sample means? What is the
"formal statement" of this
phenomenon? What is the name for this value?
11 What is the standard error of the mean? Why is it useful?
12 Explain the similarities and differences among standard
deviation, standard error of estimate, and
standard error of the mean.
13 Identify and explain the two characteristics of the population which
determine the numerical value
of the standard error.
14 State and explain the formula for the standard error.
15 What is the primary use of the distribution of sample means?
16 State the formula for z-score corresponding
to any sample mean and explain how & why it differs
from the z-score for individual scores.
17 Explain how standard error indicates probability or
chance regarding the relation between
an unknown population mean &
the sample mean. [Note: this is not the z-score/unit
normal table
procedure. Rather, "Larger standard error . . ..
Smaller standard error. . .."]
18 Explain how standard error is useful in measuring reliability
and in measuring stability.