Friday, April 28, 2006

Last Minute Tip #2

Speaking of confidence intervals, I also noticed at the review session that you guys are great at interpreting the INTERVAL:

I am 95% confident that the true percentage of Laker fans lies between 85% and 92%.

But not so great at interpreting the confidence LEVEL:

This procedure, when repeated over and over, would produce intervals that would contain the true percentage 95% of the time.

Hope this helps also.

(This tip was NOT brought to you by Coke.  Coke gives you the runs.)

Last Minute Tip #1

I noticed at the review that some people were surprised at how much was needed for a confidence interval.  When asked for an interval, you should:

Name it
Check the conditions for it
Show the formula
Write it and interpret it

Hope this handy tip helps! 

(This tip was brought to you by Pepsi.  Drink Pepsi and find everlasting happiness and joy!)

Answers to Friday's Quiz

D-5:

A)  For essentially correct you needed three things:
  • Randomly assign the treatment to
  • two treatment groups (new drug and old drug)
  • and compare the chltr. at the end
B)  Two things:
  • Blocking LINKED to cholesterol level
  • Randomly assign treatment
C)  Yes:  neither the PATIENT nor the DOCTOR knows who's getting which drug.  (only one guy with the secret code).


J-1:

A)  Boxplots must have labels and you should have figured out that their are two low outliers and one high outlier for graph A.

Bi)  To make the proportion sound best, chose A.  With A, over 75% of the cars improved, whereas with B only 50% improved.  Note:  must compare to B for full credit.

Bii)  To pick the highest mean, pick B.  B has a lot of higher values than A.  A has low outliers which will pull it down.  The top 25% of B is from 25 to 40, which is above A's max.

Email me if you have any questions this weekend!  (mrmathman@gmail.com)

Wednesday, April 26, 2006

The last of the review

Tuesday/Thursday we did:

  • Ch. 10 #1 & 2
  • K-1
  • M—1, 3, 5

 

I also handed out a list of flash card facts to memorize and will pass out on Thursday the answers to 97 and 02 MC.  

Monday, April 24, 2006

Extra Study Sessions

The Last Week Before the Test!!

Tuesday:  2:30-4:00
Wednesday:  2:30-4:00
Friday:  2:30-7:00 (bring $$$$ for pizza!)

HW/CW for Monday, April 24th and beyond!

In class we did:

Type I & II errors

  • Do P. 418 #7 & 9 (use page 410 to refresh memory)
  • H-2
Pink Sheets (2nd and 3rd only)

  • G-4:     1-prop z-interval
  • H-5:     Chi-sq
  • I-3:       2-prop
  • K-4:     2 mean interval

 

HW:  Page 511 #9, 13, 23 (check conditions for all three problems)
         MC 2002--This is crucial! 

Try to get all this homework done on Monday, Tuesday, and Wednesday night.

 

In Class--Friday, April 21

We went over the AP test breakdown and did problem A-5.  This was our review of matched pairs t-test.

Friday, April 21, 2006

AP Test Breakdown

The AP test is:

20%-30%  Exploring Data (first 5 chapters) and Regression (7-9, a little bit of 10)
10%-15%  Designing Experiments (12 & 13)
20%-30%  Probablity
30%-40%  Confidence Intervals and Hypothesis Tests

Make sure you know those pink sheets!

Homework for the weekend--April 21st

You must show me evidence that you studied at least one hour over the weekend.  That is what I will stamp on Monday. 

Suggestions:
  • Study the probability worksheet and your probability final
  • Do the 7 pink sheets we named on Thursday
  • Make a list of the conditions for every test
  • Make some flashcards

Answers to Thursday's work

Here are the answers:

  • A-4:  2-prop z-test
  • A-5:  matched pairs mean t-test or 2 mean t-test
  • C-2:  X^2 two way table
  • D-4:  2 mean t-test
  • E-5:  matched pairs mean t-test
  • F-5b:  2 mean t-test
  • H-2a:  1-prop z-test

Thursday, April 20, 2006

Homework for Thursday, April 20th

AP test takers:

In class we took notes on how to tell the different pink sheets apart from each other.  Here's a few highlights:

  • LinReg t-test:
    • Hardly shows up on the test
    • Conditions are given to you
    • Look for the computer output
  • Chi-Square
    • Look for categorical data
    • one row means GOF
    • a table means 2-way table (matrix)
  • prop z-tests
    • look for __ out of __
    • count 1 or 2 n's
  • mean t-tests
    • look for mean(s), sd(s) and n(s)
    • look for a list of numbers
    • 1 n or 2 n's or matched n's?
Now do this.  Read these 7 FR problems and just start by NAMING each test:
  • A-4
  • A-5
  • C-2
  • D-4
  • E-5
  • F-5b
  • H-2a
Homework:  Study the 20 probability problems, your old probability final and/or start doing some of the 7 pink sheets listed above. 


List of all AP review

For your convenience, here is a list of all the AP problems we have done:

Week 1

Monday:
  • F #4, G #1, MC-Z #1-10 + the non-AP book problems
Tuesday:
  • D #1, C #3, B #5, MC-Z #11-15
Tuesday tutoring:
  • I #1
Wednesday:
  • D#5, E #4, F #2, G #3
Wednesday tutoring:
  • H #4 & K #2
Thursday:
  • MC-Z #16, 17, A #1, J #1, 2, 3, 4, 5
Friday:
  • B #6 & MC-A #1-14
Week 2

Monday:
  • MC-Y #15, E-2, G-2, F-3, K-3
Tuesday:
  • B-1 and MC-B
Tuesday tutoring:
  • H-3 & I-5
Wednesday:
  • Probability worksheet (see two posts down!)
Thursday--4/20--we'll see!

non-AP Homework

Here's the non-AP homework, as of April 20th:

  • Week 1:

Monday/Tuesday: 
  • Ch. 7 #5 & 11
  • Ch. 8 #9 & 35
  • Ch. 9 #11
  • Ch. 10 #1
Wednesday:
  • Ch. 7 #1, 17
  • Ch. 8 #5, 7
  • Ch. 9 #1
  • Ch. 10 #2
Thursday:
  • Ch. 12 #11, 15, 19
  • Ch. 13 #23, 25
Week 2

Monday:
  • Quiz
Tuesday:
  • Ch. 3 #5 & 15
  • Ch. 4 #5, 15, 19, 29
Wednesday:
  • Ch. 5 #13, 23, 25, 29, 31
Thursday (today!)
  • Start the probability worksheet that the AP students did.  Those problems are listed on the post below.
Good luck! 

Mr D

Wednesday's Worksheet

Here is what we did on Wednesday, April 19th:

So here's the plan.  I have listed one of every type of probability problem from the text.  They are all odd.  Show your work.  Check your answers.  Each number is a different concept—keep each one separate!  Here they are:

 

  1. Ch. 6 #25a
  2. Ch. 6 #25bc
  3. Ch 6 #25e
  4. Ch. 14 #13a-2
  5. Ch. 14 #13b-1
  6. Ch. 14 #13b-4
  7. Ch. 15 #5b
  8. Ch. 15 #9d
  9. Ch. 15 #15a
  10. Ch. 15 #23
  11. Ch. 16 #15a
  12. Ch. 16 #15b (hint:  look on P. 311—this is just a boring calculator problem.  Another hint:  can you find this formula on your formula sheet?)
  13. Ch. 16 #3
  14. Ch. 16 #33ab
  15. Ch. 17 #13d (Hint: This is binomial.  Use Binomialpdf in handy stats.  Also, there is a formula for this one, can you find it?  Can you write it?  See the example on P. 321-322)
  16. Ch. 17 #15ab (Hint:  Your formula sheet has these two formulas!)
  17. Ch. 17 #13a 
  18. Ch. 17 #15c (this problem is optional)
  19. Ch. 18 #9 (Hint:  If this feels like a 1-prop z-test, you're right!)
  20. Ch.  18 #21cd (Hint:  central limit theorem)

 

WOW!  That's a long list.  But a lot of the problems are short. 

 

Now do this:  go back and put a word or phrase on every problem.  If you are going to recognize a problem on the AP test, you have to name it!  A problem without a name feels lonely and neglected!  Give it an identity!  I'll get you started:

 

  1. drawing a normal curve
  2. normalcdf
  3. inverse normal
  4. disjoint—or—add
  5. independent—and—multiply
  6. at least one = 1 – P(none)
  7. you do the rest!


Wednesday, April 19, 2006

Homework--Wednesday, April 19th

Today's homework was long, but crucial.  I gave you a list of 20 problems of each probability type on the AP test.  Good luck!