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PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 2¢
1) In Fig. 2a the weight pn refers to each of the sugar mo-
lecules, and similarly for the estimate x in Fig. 3a. In Fig. 4a
the weight p holds only as an average for all of the nylon mo-
lecules subject to observation, and similarly for its estimate x
in Fig. sa.
2) Let M be the (average) second order momentum of the
molecules. For the sugar molecules the theoretical model illus-
trated in Fig. 2a gives
38)
M =?
and in the model illustrated by Fig. 3a a point estimate of M
is given by
(39)
Mer
For the nylon molecules the theoretical distribution gives, as
Ulustrated in Fig. 4a,
FAW
)
M =u
+
Nonstochastic variables subject to exact observation. a) Molecular
weight of sugar. b) Boys law PV —=c
where ¢ is the standard deviation of the distribution. The
simple point we wish to illustrate is that the inference (38) for
2] Wold - pag. 22