MATH 481 HOMEWORK TO TURN IN
SPRING 2006

HW #    Due Date      Problems
-----   -----------   ---------------------------
  1     Thurs Feb 2   8.68, 8.76 (Hint: use theorem 8.11), 8.78, 11.24
  2     Thurs Feb 9   11.30, 11.36, 11.58, and the following:
 
                      Suppose a sample of size 12, drawn from a 
                      normal population, has a variance of
                      0.39.  Construct a 95% confidence interval for the
                      true value of the population variance. 
                     
                      Originally 11.56 was on the list, but it appears to
                      make no sense. Sorry for the inconvenience.          
 
  3     Thurs Feb 16  11.38, 11.44, 11.50, and the following problem: 
                         Find the median of the exponential distribution
                         with parameter theta (see Def. 6.3, p. 202).
 
  4     Tues  Mar 7   10.25, 10.26

  5     Thurs Mar 23  10.50, 10.54, 10.60, 10.64

  6     Thurs Mar 30  13.24, 13.26, 13.36, 13.44
                           
  7     Thurs Apr 20  13.76, 13.78, 13.82, 14.42 

  8     Thurs Apr 27  
                   A. Construct a 99% confidence interval for the
                         slope in the linear regression equation you
                         found in exercise 14.42.
                   B. Find the sample correlation coefficient using the
                         data from exercise 14.42.
                   C. With reference to the data in exercise 14.42,
                         test the hypothesis  

                             H  :  rho = 0   vs.
                              0  

                             H  :  rho does not equal 0
                              1 

                        at the 0.05 level of significance.

                    D. See the ANOVA supplement for the fourth problem.