Stat 470, Spring 2006

Homework Set 5, Due Monday 4/17/06
==================================.

(1) One confidence & prediction interval problem on 
life-table data.
  Consider the life-table data contained in 
Table 1.1 on p.1 of Chapter 1.
  (a) Find Weibull (gamma, lambda) parameters such
that 20p20 = 92315/95840  and  40p20 = 75221/95840
are exactly as would be predicted from that life table.
  (b) Acting as though l_{20} = 95840 and the parameters 
gamma and lambda found in (a) are fixed and known, 
a find 95% two-sided prediction interval for l_{30}, and 
see whether l_{30} falls into it.
  (c) Acting as though l_{70} ~ Binom( l_{60}, 10p60), 
with l_{60} = 75221 fixed and known but 10p60 unknown, 
find a 95% two-sided confidence interval for 10p60 using
l_{70} from Table 1.1.
NOTE: Part (c) makes no use of the Weibull model from
parts (a) and (b).

(2) Problems from the end of Chapter 3 of the 
text/notes:  # 8, 10, pp. 87-88.

(3) Problems from the end of Chapter 4 of the 
text/notes:  # 1, 2, 3, pp. 116-117.