Question

SAS must be used. Please include the code and the answer.

1. Generate 625 samples of size 961 random numbers from an Exponential distribution with lambda = 2.

For each of these 625 samples calculate the mean:

a) Find the simulated probability that the mean is between 2 and 2.1.

b) Find the simulated mean of the means.

c) Find the simulated standard deviation of the means.

d) Display the histogram of the means.

Answer 1

proc means data=Sim noprint;
by SampleID;
var x;
output out=OutStats3 mean=SampleMean std=SampleStd;
run;
 
/* P( Sample mean in [3,4] ) = 0  (less than 1/&NumSamples) */
data PValue34;
set OutStats3;
mean34 = (3<= SampltMean <= 4);
run;
proc freq data=PValue34;
tables mean34;
run;

ods select Moments Histogram;
proc univariate data=OutStats3;
label SampleMean = "Sample Mean of U(1,9) Data";
var SampleMean SampleStd;
histogram SampleMean SampleStd / normal ; /* overlay normal fit */
run;

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