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M 4/2/012
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Classes resume.
HW due: Finish reading the book How to
Lie With Statistics.
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T 4/3/012
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In class: Graded class discussion “in the round.”
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W 4/4/012
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HW due: Suppose that the following 2-way table was
taken from an SRS of college students. Is there evidence of an association between
homework style and grade average? Perform a suitable test (all 7 steps,
including the sketch of the sampling distribution).
Also during class: Open-notes quiz
on the book How to Lie With Statistics.
Reading notes may be checked as well.
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Th
4/5/012
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HW due:
1. Manually compute the “contribution to the  statistic” for each
of the 12 cells in yesterday’s assignment. Yes, this takes awhile. The reason
for doing this is to give you a hands-on understanding of exactly where the
contributions come from. Show work clearly.
2. Which cell(s) have the biggest discrepancy between observed and expected,
as measured by contribution to ? Write your conclusion in the form of an analysis of a
pattern that appears to be bordering on statistical significance.
3. Read pp. 660-671, 677-680, and the summary on p. 681.
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F 4/6/012
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HW due: Read pp. 689-700 and the assumptions for
regression found on the STAT TESTS
summary handout; write #13.1abcdef.
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M 4/9/012
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HW due: Read the material below, and answer the
questions that follow.
Now that you know how to check the regression assumptions, the next thing to
do is to perform PHASTPC-style statistical tests on hypotheses involving  or
 . Also, since we have a formula for the standard error of
the slope, namely
we can compute a confidence interval for the slope if we wish. Such a
confidence interval would have m.o.e. given by the
same formula we would always use in a situation like this, namely
m.o.e. = (crit. value) (s.e.)
. . . and since we are using the t distribution with df
= n – 2, and since we have a
formula for s.e., this becomes
 .
1. Answer #13.18ab on p. 711.
Hint for part (a): “Useful” means
that the true slope is nonzero. No work is required, but a literate, coherent
explanation of your reasoning is required.
Hint for part (b): The t-value for the slope is not the 9.35
you see in the row for the “Constant” coefficient. You may also find the
annotated guide at the top of p. 706 to be helpful.
Another hint for part (b): Part (b)
is asking you to construct a confidence interval for , the true slope, based on what you know (or can deduce)
about b1 and  . You will also need to state your confidence level. Show
work.
2. Answer #13.19ab on pp. 711-712. For part (a), perform a PHASTPC writeup. For the “A” step, describe how you would check
the assumptions if you could. (You can’t check assumptions, of course, since
you weren’t given enough information, but describe what you would do if you
had been given the raw data.)
Important hint: What your book
calls sb
(standard error of the slope) is called on the AP exam.
3.(a) In #13.18, is there evidence that the true
correlation coefficient ( ) is positive? Explain your reasoning.
(b) In #13.19, is there evidence that the true correlation
coefficient () is positive? Explain your reasoning.
For #3(a) and (b), a sentence or two are expected for each. There is no need
to go through a complete PHASTPC!
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T 4/10/012
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HW due: Write #13.61ab. For part (a), use a PHASTPC
approach, all 7 parts (including S). Note that in order to check assumptions,
you will need to refer to the raw data at the top of p. 702.
In class: Discuss first page and a half of the AP
formula sheet. The formula sheet starts on p. 16 (if you print it out),
which has a page number of 12 in the lower left corner.
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W 4/11/012
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Career Day (no class B period).
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Th
4/12/012
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Quiz (10
points) today will cover the first
page of the formula sheet.
HW due:
1. Continue marking up your AP
formula sheet (pp. 16-18 if you print them out, though they are numbered
as pp. 12-14 on the bottoms of the pages). On the second page (probability
and inferential statistics), write a translation of what each formula means
or is good for. For example, the first few on the page are as follows:
General Union Rule (can also be
used to calculate probability of an intersection in terms of a union)
Conditional Probability Formula
Expected Value (a.k.a. Mean) of a Random Variable
Variance of a Random Variable
2. On the third page (1-sample and 2-sample standard error formulas), mark
the STAT TESTS code(s) that go with each one. For example, the first formula
( or more properly,  ) belongs to STAT TESTS 2
and 8. If you prefer not to make a printout of the third page, then simply
make a table with 2 entries in the top part and 4 entries in the bottom part.
3. Until further notice, bring your Barron’s AP review book to class each day
as part of your equipment check.
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F 4/13/012
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Quiz (20
points originally, but reduced to 10 points because the scores were so low) will cover pages 2 and 3 of the formula sheet, plus
you need to know what is meant by the row marked “ ” on the t*
table. Remember, df = is another way of
saying that you are looking at a z
(normal) distribution, since the t
distributions become more and more normal as df
grows large. In other words, the last row in the t* table is where you find your z* values.
HW due:
Work 35 minutes’ worth of problems from your Barron’s review book. For each
problem, record on your homework paper the
page number, the problem number, the work (if applicable), the answer, and an
indication of whether you were right or wrong. Record all this
information on your homework paper,
not in the review book itself. If you got the problem wrong, write
corrections in a different color of pencil or pen.
Write your time log at the top of your
homework paper, and follow strict AP time limits. Your homework paper
should show a proper mix of problems. The time limits are 2 minutes and 15
seconds for each multiple-choice problem, 13 minutes for each regular-length
free-response problem, and 25 minutes for each “long-format” free-response
problem. For example, here are some suitable mixes of problems you could work
on:
·
1 long-format
free-response + 4 multiple-choice
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2
regular-length free-response + 4 multiple-choice
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3
regular-length free-response + 0 multiple-choice
·
0 free-response
+ 15 multiple-choice
If you make a large number of errors and fall short
of these goals because of the time spent making the required corrections,
then note that on your paper. In such a situation, your time log will be
acceptable evidence of effort.
Collaboration
is not permitted for this assignment.
You must choose a mix of problems that are of interest to you. You can choose
problems from focused subject areas, or you can choose “pot luck” (mixed
subjects) from the practice exams at the end of the book, or you can flip
through the book and choose random problems that look interesting to you.
Each student should have a unique set of problems and answers. If you copy
problem sets, work, or answers from another student, you may receive an
invitation to visit the honor council.
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M 4/16/012
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HW due: Continue working in your Barron’s book.
Choose another block of at least 35 minutes’ worth of problems, with
corrections, as you did for last Friday. Remember . . .
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No
collaboration is allowed.
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All work must
be shown on your homework paper, not in the review book. (Scratch markings in
the review book do not count for credit.)
·
Show page
number and problem number for each problem.
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T 4/17/012
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HW due: Another 35 minutes of Barron’s review,
exactly as you did for Monday.
Group leaders: Prepare to give an oral status update on your project. If you
are absent for any reason, you must deputize someone else to give the status
update on your behalf. No MFBSG (mumbling, fumbling, bumbling, stumbling, or
grumbling).
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W 4/18/012
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HW due: Review problems listed below. Problems
13.62, 12.42, and 12.9 each require a PHA(S)TPC writeup.
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p. 236 #5.46
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p. 742 #13.62 (Note: Use the printout on p. 236. The
one on p. 742 has typos in it.)
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pp. 433-434
#7.124d
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p. 683 #12.42
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p. 658 #12.9
In class: Review.
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Th
4/19/012
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Test (100
pts.) on all statistical tests (z, t, chi-square, LSRL t) and associated margins of error. You must know all your assumptions cold. A standard
AP formula sheet will be provided. For your assumptions, you will definitely
want to memorize the entire third column on the STAT TESTS handout.
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F 4/20/012
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HW due: Re-do yesterday’s
test. You may write directly on the test printout, or if you prefer, you
may write the answers on standard HW sheets.
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