Here are instructions on how to simulate
the results of a Simple Random Sample (SRS) using EXCEL
instead of using Table B.
Open the "Random Number Generation" window
from the Data Analysis toolbox,
and fill it in like below:
This will generate 10 Uniform Random
Numbers (URN) in column A.
"Yes" responses are represented by those individuals whose URN is less than 0.2.
To count how many such "Yes" responses
are in the random sample, use the function "COUNTIF"
as shown in the image above. The function
simply checks whether the condition "<.2" (i.e. "Yes") holds,
for each
entry in cells A1:A10, and reports
the count.
*Note*
In the above table , p-hat = 3/10 = .3 is a sample-based estimate of the
population parameter,
p = 0.20.
To generate several samples of the same
size, say 20 SRS of size 10 (as in part (b) of
textbook exercise 3.69), is to select 20 (instead
of 1) for the "Number of Variable" field in the RNG window
and 10 for the "Number of Random Numbers". This will fill
the field A1:T10, each column being a SRS.
You may also generate
20 SRS of size 10 by choosing
10 for the "Number of Variable"
and 20 for the "Number of Random Numbers".
This will fill the field A1:J20, each row being a SRS
.
To make the grading simpler, please
use the seed 921 when you answer part (b) of textbook
exercise 3.69.
Hand in a one page Excel worksheet with the answers to part
(b) of textbook Ex. 3.69
in
the following format:
The
list of the one SRS, consisting of 2 rows:
- the 10 random numbers in the cells A1:J1,
- the corresponding "yes"/"no" responses in the cells A2:J2,
The
complete list of 20 SRS in the field A4:J23, and the 20 separate values
of "p-hat"
( the proportion of Yes's) in cells K4:K23.
The mean of the p-hats in the cell K25.
In
cell M25, report (numerically) how close to the corresponding population
parameter is your
average
estimate.