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 > let k1=mean(c1)
MTB > let k2=std(c1)
MTB > let k3=count(c1)
MTB > name c2 'chisq' c3 's2' c4 'mu'
MTB > let k4=count(c1)-1
MTB > rand 1000 'chisq';
SUBC>   chisq k4.
MTB > let 's2'=k4*k2**2/'chisq'
MTB > rand 1000 'mu';
SUBC>   normal 0 1.
MTB > let 'mu'=mean(c1)+sqrt('s2')/sqrt(k3)*'mu'
MTB > plot 's2' 'mu'

         -                 *
     1.05+                                                *
         -                                    *
 s2      -          *
         -                *       *                    * *
         -                                        *
     0.70+                                 **        *
         -                         2         ***   ***    *
         -    *          *       *  * * 2* 2 *** *  * *
         -           *  2  *  * 2***2 ***22* *2** *   *  *
         -                  2 222  2*22**2*53322***   2       *
     0.35+        *    2***2* 244*54*5333447627336*55* 3* *   *2
         -        **     **232*3*3567++868776++4656542 23 *
         -            * * * *447678+++++++++++++8+66743*2* 2*
         -                   *42429+9++++++++9+++8 3622 *
         -                    *     *25**324*543   2
     0.00+
           ----+---------+---------+---------+---------+---------+--mu      
           32.00     32.20     32.40     32.60     32.80     33.00

MTB > dotplot 'mu' 's2'

Each dot represents 4 points
                                       .:
                                    .  :::  .
                                   ::. ::::.:
                                  .:::.::::::.
                                 :::::::::::::
                                ::::::::::::::::
                             .. :::::::::::::::: ::
                            :::::::::::::::::::::::..
            .   .........::::::::::::::::::::::::::::::.... ..
          ---+---------+---------+---------+---------+---------+---mu      
         32.00     32.20     32.40     32.60     32.80     33.00
Each dot represents 7 points
                 ..
                 :::
                .:::::
               :::::::.
               ::::::::.
              .:::::::::::.
              ::::::::::::::.
            .:::::::::::::::::::::.:......  ... .....   ..    . .
         +---------+---------+---------+---------+---------+-------s2      
      0.00      0.20      0.40      0.60      0.80      1.00