Exercise $3\mathrm{.}4$

A certain chemical is produced in batches, and the batch identity is maintained in shipping to each customer $($batches are not blended together$).$ Since each batch is well stirred and logically homogenous, every batch is characterized by a single test value. The test values for the $15$ batches are:

$353938423737393737403939384236$

a$)$ since the data are used to characterize each batch, it would be inappropriate to arrange them into subgroups. Place these $15$ values on an Individual and Moving Range Chart.

b$)$ If batch $16$ had a value of $34,$ would that batch be judged to be consistent with the previous $15$ batches?

c$)$ if batch $17$ had a value of $44,$ would that batch be judged to be consistent with the previous batches?