AP Statistics / Mr. Hansen
Review Sheet for Test on Sections 5.1, 5.2, and 6.1
D period: Wednesday, 1/6/1999
F period: Thursday, 1/7/1999
Switching between tests is permitted only if you have written permission from your other teacher.
Note: Some of the items below are actually from Chapter 4. Be sure to review your corrections from the Chapter 4 test.
Terminology (approx. 25 points):
law of large numbers (also know what it does not say)
independent events, independent random variables
disjoint events
conditional probability and how to compute it
population parameter
sample proportion, population proportion
binomial probability distribution
sampling distribution (review definition on p. 260—you may be required to state it)
orange box on p. 374 (and you should be able to answer the question, "Why does the count of successes in an SRS of size n only approximately have the B(n, p) distribution? Why is it not exact?")
binomial coefficients, binomial probability
binomial mean and standard deviation (orange box on p. 380)—these are two formulas you should know
unbiased estimator
sample mean
central limit theorem (should state using language similar to p. 398; the last sentence on that page is crucial)
margin of error
confidence level, confidence interval
critical value
Straightforward Techniques (approx. 25 points):
computing permutations and combinations
complement rule
multiplication rule (when is it valid?)
application of the orange box on p. 381 (but you need not memorize those formulas)
application of the orange box on p. 382 (for example, reread last sentence before the orange heading)
application of the addition rules for means, variances, and standard deviations (orange boxes on pp. 329 and 332)
omit the continuity correction (p. 384)
orange box on p. 397—extremely important
computing the two parts of a confidence interval (estimate ±
margin of error)
Problem Solving (approx. 30 points):
Problems will be similar in depth and complexity to the textbook problems from Sections 5.1, 5.2, and 6.1. You will be required to calculate confidence intervals, for example, or to compute the required value of n that works for a desired confidence level or size of interval.
Important: You should be able to document any assumptions that you are applying when solving your problems. (For example, any use of the addition rule for variances requires that you note the presence of independence.) When writing conclusions, always use AP-style wording. Avoid using the word "it," and be able to make professional, suitable-for-the-layman statements about confidence intervals that avoid the words "probability" or "chance."
In-Depth Understanding (approx. 20 points):
There are some very subtle concepts in this material, especially in Section 6.1. Approximately 20 points will be drawn directly from the following three passages:
Explanation of Figure 6.1 on p.430
Paragraph starting with the words "This formula is not the proverbial free lunch" on p. 438
Long section beginning with heading "Some cautions" on pp. 439-440
Some Final Words of Advice
1. Work the entire test. Do not get hung up on any one problem for too long.
2. Always give your answers a "reasonableness check." If you have time, try an alternate method as a check.
3. Beginning with this test, answers will be graded more nearly according to AP criteria. In particular:
a) Exposition must be linear, top to bottom. No jumping around or fragmentary thoughts in the final presentation.
b) Cross out anything you wish to be ignored (preliminary work that led nowhere, for example). However, anything that is crossed out will be truly ignored (i.e., not graded). No need to erase.
c) Document any assumptions or rules of thumb used (e.g., np > 10, n(1-p) > 10).
d) Use "AP-style" wording. Some specific suggestions are shown above under the heading "Important."