RCHS Math
AP Stats
Home
AP Stats
Article for the week
Amazing Graphs Here!
RCHS Geometry
RCHS Algebra

Beware of the statistics curse...

Homework Schedule
 
Friday, 3/25:
Review Book
P. 161-162 #1 & 2
P. 201 #5
P. 235 #5
 
Monday, 3/28:
From your regular book
1.30, 1.31, 1.47, 1.53, 1.54acd, 1.55
 
Tuesday 3/29:
11.56 ab
11.60
11.63
Find a 95% confidence interval for 11.50 and do pink sheet
 
Practice Multiple Choice Below:
 

1) All of the following facts concering the relations of t and z are true except for
a) T curves are more spread out than z curves.
b) T becomes close to z when there is a large n.
c) Z curves are always bell-shaped while t-curves have a bell-shape most of the time.
d) Z has the two variables mean and standard deviation while T has the three variables mean, standard deviation, and degrees of freedom.
 
2) For a small n, t is                        than z.
a) closer
b) more spread out
c) opposite
d) smaller
 
3) Why did Gosset invent t*?
a) He thought s>0.
b) He was worried there was more variation in the data.
c) S did not work for a small degrees of freedom.
d) N was not small enough.
e) He was drunk.
4) When n is                  , t is more spread out than z.
a) large
b) small
c) the same
d) all of the above
5) Which is a matched paris situation?
a) Half the group gets a placebo and the other half get the actual medication.
b) Through random distribution, half of the people receive Pepsi, and the other half receive Coca-Cola.
c) The people eat both sandwiches, A and B. The order for eaiting A or B is randomly chosen.
6) What is true about the relationship between t and z?
a) As n gets bigger, t becomes closer to z.
b) As n gets smaller, t becomes more spread out than z.
c) None of the above.
d) Both A and B.
7) A manufacturer of small LEGO accessories employs a market research firm to estimate retail sales of its products by gathering information from a sample of retail stores. This month, an SRS of 100 stores on the West Coast sale region finds that these stores sold an average of 28 of the manufacturers' products, with a standard deviation of 13. Give a 95% confidence interval for the mean number of LEGO's sold in the west.
a) (7.4442, 18.556)
b) (25.421, 30.579)
c) (18.556, 7.4442)
d) (-25.421, 30.579)
8) When does t become more like z?
a) When Michael Waller outsmarts Mr. Derksen.
b) When the degrees of freedom increases.
c) When Daniella's fat lard sits on t and z squeezes out.
d) When Jennifer goes on a diet. (Never.)
 
9) When are the tails of a t curve fatter than those of the z curve?
a) When n is large.
b) When standard deviation is larger.
c) When n is small.
d) When standard deviation is smaller.
e) Always.
 
SELECTED ANSWERS
1) c 5) c 7) a 8) b 9) e  

Type I and II Errors/Power

Article for the week

Guess My Correlation!!!

Guess the LSRL and r!!!

Sampling Distributions--CLT!!

Homework
 
#1-11odd + 15

Good Morning/Afternoon!

Click on the "Sampling Distribution--CLT" link above.

Click "Begin"

Answer the questions below in your notebook.  Think CAREFULLY about what you are observing!

  1. What are mu and sigma?
  2. Click the "Animated" button.  
  3. What do the 5 black squares represent?
  4. What does the blue square represent?
  5. Is the blue square close to 16?
  6. Why did I think it would be close to 16? (what is mu?)
  7. Click Animated again.  Is the new blue square close to 16?
  8. Click it again.  What is the name of the graph being made out of blue squares?
  9. Click "10,000 samples".  Describe the shape of the blue graph.
  10. Record the mean and s.d. of the sampling distribution.
  11. Why are you not surprised at the mean of the sampling distribution?
  12. Now clear all 3 graphs and make n = 25.
  13. Click Animated.  Is the x-bar close to 16?
  14. Click a few more Animated and then 10,000.  Record the shape, center, and spread of the sampling distribution.
  15. Compare the s.d.'s of the 2 sampling distributions.  Describe why you knew that one would be smaller than the other.  How do they compare to sigma? 
  16. Now choose n = 5 and Shape = skewed.  Clear the graphs.  Record the new mu and sigma.
  17. Click animate quite a few times.
  18. Click 10,000.  Describe the shape, center and spread.
  19. Now stick with skewed and change n to 25.  Make the sampling distribution.  Describe it.
  20. CONCLUSION:  If n is large then the shape of the sampling distribution will become:  ________________
  21. Experiment!  Choose different shapes or draw your own. 
  22. Can you predict the center of the sampling distribution?
  23. Can you predict the shape?
  24. Can you predict the spread?
  25. If you read the CLT tonight, can you understand what it says in light of this experiment?  If you can, you ready for a test on chapter 9!!!