%stat351_introduction1
Normal random variables

>> normrnd(0,1)
ans =

   -0.4326

>> normrnd(0,1,2,2)
ans =

   -1.6656    0.2877
    0.1253   -1.1465

>> sample=normrnd(0,1,10,1)
sample =

    0.1139
    1.0668
    0.0593
   -0.0956
   -0.8323
    0.2944
   -1.3362
    0.7143
    1.6236
   -0.6918

 >> mean(sample)
ans =

    0.0916

   
 >> std(sample)
ans =

    0.8987


>> sample=normrnd(0,1,1000,1);
>> mean(sample)
ans =

    0.0413

>> std(sample)
ans =

    0.9866
    
    
>> sample=normrnd(0,1,10000,1);
>> mean(sample)
ans =

  8.8450e-004

>> std(sample)
ans =

    1.0026

%Hypothesis Testing
>>X = [1.0044
     1.7164
    -0.0153
    -0.2653
     1.4195
    -1.0534
     0.2733
    -0.5767
     1.1299
     0.0296];
 
>> mean(X)
ans =

    0.3662
    
normcdf(0,0,1)
>> normcdf(-1.645,0,1)

ans =

    0.0500

>> normcdf(0,0,1)
ans =

    0.5000

>> normcdf(1.645,0,1)
ans =

    0.9500
    
>> mean(X)*sqrt(10)
ans =
    1.1582