Assignment 1: Simple random sampling
Due date: February 1, 1996 

PROBLEMS
	In this and in all future simulations, your writeup must include 
sufficient details so that I can follow your calculations without reading 
your computer output.  In particular, all formulae used must be clearly 
identified and a reasonable collection of intermediate values must be 
given.  The computer output should be appended and be sufficiently well 
annotated so that I can easily find the proper place to check more 
completely any particular computation.  Efficient grading requires that 
IF I CAN'T QUICKLY DECIPHER WHAT YOU DID, THE PROBLEM WILL BE ASSUMED TO 
BE INCORRECT.
 
1. Use the addgen and survey programs to obtain the answers to the
questionaire for a simple random sample of 200 addresses from Lockhart City.
In your writeup provide the seed number you used in addgen.
Estimate the following from your sample.  Give standard errors for your
estimates:
   a. The average price a household in Lockhart City is willing to pay 
for cable TV service.  Actually we only know for each sampled household 
the price it is willing to pay for service rounded down to the nearest 
$5.  Recognizing this limitation to question 4 of the survey 
questionnaire, use the answers to that question as the prices that the 
sampled houses are willing to pay.
   b. The average number of TV's per household.
   c. The proportion of houses willing to pay $10 for cable service.  
This really means, of course, at least $10.
   d. The average number of hours spent per week watching TV in 
households willing to pay $10 for cable service.
   e. The total number of adults in households willing to pay $10 for 
cable service.

2.	Draw a histogram or stem-and-leaf diagram of the responses in your 
sample to question 8 (number of hours watching children's TV).  Does the 
distribution of number of hours spent watching children's TV for 
households in Lockhart City appear normal?  Find an approximate 95% 
confidence interval for the mean number of hours spent watching 
children's TV.  Based on your histogram, is constructing a confidence 
interval an appropriate thing to do?  Why or why not? (Hint:  do you 
think that the sampling distribution of the mean viewing time for 
children's TV could be normal?)