ORIE 476 SPRING 2004
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Homework 1: (due date February 6)
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Read Appendix A.4 in the textbook before attempting question 1) and 2). 

1) Let T be a random variable with a t(5) distribution. 
   Find by means of Table B.2 in Appendix B of the textbook,
   or even better, using R.
a) P(T > +2)
b) P(T < -1)
c) P(-3 < T < +3)
d) t(0.950; 5)
e) t(0.987; 5)

2) Let F be a random variable with a F(7, 9) distribution. 
   Find by means of Table B.4 in Appendix B of the textbook
   or using R.
a) P(F > 4)
b) P(F < 9)
c) F(0.95; 7, 9)
d) F(0.93; 7, 9)
e) F(0.05; 7, 9)

*** NKNW stands for the 4 authors of the textbook. ***

NKNW: Problems
1.2, 1.4, 1.6, 1.8, 1.18, 1.21, 1.22, 1.25, 1.26

NKNW: Exercises
1.29, 1.30, 1.33, 1.34, 1.35, 1.36

NKNW: Problems
2.1, 2.2, 2.3, 2.6(a,b,c), 2.7(a,b)

Here are the data for Problem 1.22:

  199.0   16.0
  205.0   16.0
  196.0   16.0
  200.0   16.0
  218.0   24.0
  220.0   24.0
  215.0   24.0
  223.0   24.0
  237.0   32.0
  234.0   32.0
  235.0   32.0
  230.0   32.0
  250.0   40.0
  248.0   40.0
  253.0   40.0
  246.0   40.0