Math 151 , Day 41, Monday, December 3, 2006  After class  Hit reload .

HW Day41:
Reading Ch. 18:  We'll repeat the CI and test work, only with s instead of sigma, and t instead of z. First to p. 441, Now, the restREAD about Matched pairs (p 444-7)and Robustness (p.447-9)! Check p. 451 18.15, 15, 17, 18, 19, 20, 21, 22 first, then 23, 24.  
Read Ch. 19, pp. 460-61 only!
Hand in  Wednesday . I think they're all do-able.
Using SPSS for one-sample procedures (with front page of Handout Dataset as SPSS file, Dataset as text (.dat) file  (If you import from the text file, remember to check that the Measure is Scale)
A.  Redo the example on the handout, getting the result of example 18.3
p. 453, 18.27  Sharks (Use SPSS)  Use SPSS to find the confidence interval, also to do the test, for the practice. 
p. 457, 18.41 Auto crankshafts (Use SPSS)
= = = = = = = = = = = = = = = = = = = = = =
Matched pairs, and robustness (by hand unless it says SPSS)
p. 455, 18.37 measuring placebo effect  Use Table C.  You can check with the Excel t-procedures
p. 446, 18.11and 12 newts healing.  Find the differences by hand, and make a stemplot by hand.  Use SPSS (back page of Handout) to do the test and CI.  You can use the "Paired Sample" method."
p. 448, 18.13 newts with outlier You may find the differences by hand, and do the stemplot by hand, or use SPSS.  Use SPSS to do the tests.  To eliminate the outlier, you can just delete that row from the data set.
p. 450, 18.14 Reading scores Use Table C. Also, what IS the standard deviation? You can check with the Excel t-procedures , plug in the sample size and what you think is the s.d. and see if you get the given SE .  Also , you may find that the mean is (statistically) significantly below the basic level.  Is the difference large enough to be important?  (I don't know...)
p. 455, 18.36b calcium/blood pressure conditions
p. 454, 18.34 growing trees faster.  Use SPSS.
+ + + + + + + + + + +
Chapter 19 problems, with echos of Chapters 8 and 9.   Note that we can use the same analysis method whether data is from a sample (Example 19.1b)  or an experiment (Example 19.1 a, c) or an observational study.
p. 461, 19.1, 2, 3, 4.  For each, after deciding which design it is, tell if  the data comes from a sample, an observational study, or an experiment
Read, 
to discuss

Optional 
& & & Leftover problems from Day 30 & & & & & & & &  See notes Day 39
          These ideas are related to those in Ch. 15.  You can get the answers visually by using the Statistical Significance Applet
p. 290, 11.39 Pollutants in auto exhausts  For 11.39:  You might want to know L so that if you tested your 25 cars and found a high value of x-bar, you would be able to compare it with L; if it was greater than L, you would go back to the manufacturer and say "I  believe you sold me a batch of bad cars, because the chances of getting an average emission level this high if the exhaust system is working properly is only 1 in 100. It is more reasonable to believe the exhaust system is not working, than that we "are" that 1 in 100 possibility."
  p. 290,  11.38 Glucose testing  If we use this cutoff level L to say that people (with a mean of 4 tests) over L "have diabetes", then the chances of declaring that someone "has diabetes" when they really are OK (with mean 125mg/dl) is .05.  .05 or 5% is the chance of a "false positive" using this protocol, when the real mean is 125.
& & & & & & & & & & & & & & & & & &
 
Final Exam* Tuesday evening, Dec. 12 7-10. Alternate exam time?  Tues. afternoon 2-5, Th. morning 10-1. 
     Sign in sheet
today! -your Choice.

Get  Review Exercise (
Precipitates).  SPSS file. This is optional, but if you hand it in, it will count 50%, "in class" the other 50% of the final Exam grade.  Get all the help you can find on the Review Exercise but make sure you understand and write the final result yourself.  Show your work!

In-class final exam: 
Closed book, one sheet of notes (& calculator!).  1 1/2 to 2 times as long as hourlies. Comprehensive but with special attention to the material covered since Exam 4. Reading but not creating SPSS.  Will certainly be broader in range than the Review Exercise; but most problems will be similar to the types on hour exams and HW.
Jenn's review times:  She has emailed everyone with a list of your missing HW's.  Better late than never!
Tuesday 5th 3:30-5:30pm
Wednesday 6th 6:30-8pm
Thursday 7th 6:30-8pm
Sunday 10th 7-8:30pm
Monday 11th 11-noon
I'll be on campus Friday morning (exact times soon), and Tuesday 12th from 12:30 on.

Ch. 18:  Inference for population mean (realistic)
What is the significance to Statistics of the Guinness Stout Bottle ?
Homework questions?  Day 40
Get Handout for SPSS Ch. 18
See Day 40 for notes .

Computer crash prevented showing this, SPSS work.  READ webpage Day 40 and below, BPS4e about Matched pairs (p 444-7)and Robustness (p.447-9), Ch. 19 pp. 460-61 only.
 Another situation which uses t-statistics is the one in Chapter 19
"Two-sample problems".  Two random samples,  independent of each other, from distinct  populations. (Populations are normally distributed)
Often--comparing means from an experiment with two treatments (usually control and "treatment").
                 /--- Group 1, n1---- Treatment 1---\
               /                                    \
 Random asst.(?)                                       Compare results --"means"
               \                                    /
                \--- Group 2, n2---- Treatment 2---/
To examine  the difference of the  two means, µ1 - µ2, we look at the difference of the xbars. 
We need the Standard Error of the difference  xbar1 - xbar2 , and then we can proceed as before, more or less (with some adjustments.)
But we've run out of time....


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Final Exam* Tuesday evening, Dec. 12. Alternate exam time?  Tues. afternoon 2-5, Th. morning 10-1. 
     Sign in sheet today! -your Choice!.

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