Record of Homework Assignments for Statistics 224-003, Fall 2003,
from Johnson's textbook.
 


9/2 p. 23   2.1  2.5  2.19  2.24
    p. 39   2.27  2.30-2.32  2.35
    p. 42   2.52
    p. 50   2.72


9/4 p. 61   3.1-3.4  8  10  17-22  25
    p. 72   3.28-30

9/9 p. 73   3.34  3.38  3.41  3.42  3.44 (Here c) means "inclusive")  3.45 3.48 3.51-53
    p. 86   3.55  3.58-3.61  3.67

9/11 p. 86   3.70  3.77  3.79 
     p. 93   3.81-3.85  3.88  3.90
     The in-class blood test problem for 1-in-a-million disease incidence.

9/16 p. 108  4.1  3  4  5  7  11  17  19
     p. 122  4.30  31  34  37c  39

9/18 p. 130  4.48  51(Poisson)  52  53  57  60  65

9/23 p. 132  4.65 
     p. 134  4.71-72
     p. 138  4.77 (use first 3 digits in each row on p. 580) 4.84

9/25 p. 148  5.1  2  6 (recall antiderivative of 1/(1+x^2) is inverse tan of x)
     p. 158  5.19  21  23  28  33

9/26 p. 158  5.33  35  40(use normal approx to binomial) 
             Suppose X is normal, mean = 15 and SD = 2.5. 
	     Find the probability X differs from its mean by more than 2 SDs

     p. 173  5.60-62

10/2 p. 185  5.71  72  89  90  92  93
             Also, question above in 9/26 for the exponential w/parameter beta distribution.
	     Conditional distributions for the Table of joint probabilites in class.
	     Verify the gamma p.d.f. integrates to 1.

10/7 Test 1

10/9 p. 197  5.114  120 (Use E(X) for the gamma distribution)  123  125

10/14  p. 210  6.1  2  3  5  11  13  14  15  17
       p. 218  6.30b only

10/16  p. 218  6.23 (use chi-squared  Table to estimate answer)  6.28  35  40 
       p. 230  7.2 (just calculate mean)  7.4  7.5  7.8  7.11  7.15  7.16 (draw picture) 7.20 (don't forget to use t not z)

10/21  p. 240  7.27  30  33a (answer to 33b is same as for 33a)
       p. 252  7.39  43  

10/23  p. 253  Find P-value for 7.43.  7.45  51  54
       p. 265  7.63 Hint: part b needs P( X < Y ) and X - Y is normal because 
       each of X,Y is normal and X,Y are independent

10/28  p. 265  7.65  66  68  

10/30  p. 265  7.71  Read Sec. 7.9 pp. 268-269  
       p. 269  7.74-76  78
       p. 277  8.1  4  5

11/4   p. 281  8.7  8  12  13  20

11/6   p. 289  9.1  7  8  17  sample size needed for voter survey, 95% confidence, 
       margin of error +/- 3 percentage points 
11/11  Test II

11/13  p. 307  9.45 (check: lambda = 2)

11/18  p. 298  9.19  23
       p. 305  9.39  41  42  47  51  (for 9.42, X = #tractors in daily sample of 4 
       that require adjustment.  X can = 0,1,2,3,4 and so 5 cells in GoF test.
       Note that the observed frequency of X=4 was 0.)

11/20  p. 318  10.1  2  7  9  14
       p. 326  10.17 (Apply "longest run" test also.)

11/25  p. 254  7.60 (Use R not Minitab) The sulfur emission data is on page 15. 
       Extensive documentation for R (though not necessarily in user-friendly form) is 
       at the link on the Information and Syllabus page.
       Regarding the least squares line developed in class, the normal equations 
       always have a unique solution for a and b unless the data points 
       all have the same x-coordinate. 
       (What happens in this case? What happens if there is only one data point,
       which is a special case of "all data points have the same x-coordinate"?)

12/2   p. 344  11.1  2  3a)

12/4  p.345  11.4  5  6  Use R for 4a).