Math 160
Fall 2013
Exam 3 Review
Disclaimer: I have attempted to be comprehensive in the
following, but important items may have been omitted by mistake. If
you see such an omission, please let me know, but you are responsible
for all of the lecture material to date.
The third hour exam for Math 160 will be held on Friday, December 6, and will
cover sections 4.3 through 6.2 in the textbook (skipping 4.5 and 6.4
except as noted) along with the material on Type I errors on pages 293 - 294. In particular, be prepared
to:
- Be able to work
with sums and linear transformations of means and variances.
- Be able to describe the law of large numbers.
- Be able to give precise definitions for the terms introduced in the exam
material. Once again, though you are responsible for all of the exam
material, the end-of-section summaries are a very good place to start.
- Know the sample distribution of a sample mean (mean and standard
deviation).
- Know the central limit theorem.
- Be able to describe and use the binomial distribution and the
sampling distribution for counts and proportions.
- Know the normal approximation for counts and proportions and the
assumptions under
which this approximation may be used.
- Be able to use tables A, C, and D
- Be able to define, develop, and interpret confidence intervals.
- Be able to define and determine the margin of error, and the relation
between sample sizes and the margin of error. Be able to discuss the
process by which confidence intervals are developed.
- Be able to state null and alternate hypotheses and say what these are.
Be able to discuss the process by which tests of significance are developed.
- Be able to define and use tests of significance (We will use only z-tests
in this exam. The use of both z-tests and t-tests will appear on
the final exam.).
- Be able to define and calculate P-values and to use them to determine
whether or not to reject a null hypothesis
- Know the relationship between two-sided tests and confidence
intervals
- Be able to give a careful definition of "statistically significant at
level α" and "a level C confidence
interval". These (and other) questions may be explored through essay
questions, in which you are asked to explain these ideas to an intelligent
friend who has not yet taken statistics.
- Be able to define a Type I error (please
see pages 293 - 294 for a discussion of Type I errors and their probability)
A calculator may be used for this exam, but only to calculate arithmetical
operations (add, subtract, multiply, and divide). You may not use the
statistical functions of your calculator on this exam.
Any questions? Please ask!