MTB > name c1 'weights'
MTB > set c1
DATA> 32.6 33.1 32.1 32.7 31.9 31.8 32.4 32.3 32.8 33.3 32.7 32.6
DATA> end
MTB > exec 'm_nchi'
 
OBSERVED DATA IN WORKSHEET? (TYPE 'y' OR 'n'.)
  IF YES, INPUT NUMBER OF COLUMN.
  IF NO, INPUT OBSERVED SAMPLE MEAN, STANDARD DEVIATION, AND SAMPLE SIZE.
y
DATA> 1

OBS_DATA
  32.6   33.1   32.1   32.7   31.9   31.8   32.4   32.3   32.8   33.3   32.7 
  32.6 

MEAN    
  32.525 

STD     
  0.451513 

COUNT   
   12 
 
The mean M has a t(m,se,df) distribution with

 ROW        m         se    df

   1   32.525   0.130340    11

A 95% probability interval for M is:

m_int   
  32.2381   32.8119 
 
The standard deviation S has a inverse chi-square(S,df) distribution with

 ROW        s    df

   1   2.2425    11
 
A 95% probability interval for S is:

s_int   
  0.319849   0.766613 
 
Type 'y' and return to see plots of marginal posterior densities for M and
 S:
y

         -
     1.05+
         -                           *****
 density -                          *     *
         -
         -                         *       *
     0.70+                        *         *
         -                       *            *
         -
         -                      *              *
         -                     *                *
     0.35+                    *                  *
         -                   *                    *
         -                 **                      **
         -                *                          *
         -            ****                            ****
     0.00+   ********                                     ********
           --+---------+---------+---------+---------+---------+----m       
         32.00     32.20     32.40     32.60     32.80     33.00


         -
     1.05+
         -               ***
 density -              *   *
         -             *     *
         -                     *
     0.70+            *         *
         -                       *
         -
         -           *            *
         -                         *
     0.35+          *               **
         -                            *
         -         *                   **
         -        *                      ** *
         -      *                            ******
     0.00+ *****                                   ***** *********
           --------+---------+---------+---------+---------+--------s       
                0.32      0.48      0.64      0.80      0.96