After getting a process into statistical control,

$1)$ A Range chart was developed $(3-$sigma limits$)$ with LCL$=0$ and UCL$=2\mathrm{.}50.$

$2)$ Similarly an X$-$bar chart was developed $(3$ sigma limits$)$ with LCL$=15$ and UCL$=24.$

Five monitoring samples subsequently taken read as follows:

a$)$ sample ranges: $0\mathrm{.}75,2\mathrm{.}42,1\mathrm{.}82,2\mathrm{.}04,2\mathrm{.}65,$ and

b$)$ sample means: $19\mathrm{.}5,22\mathrm{.}3,16\mathrm{.}55,20\mathrm{.}1,23,$ respectively.

What can you tell management from this analysis?

Question $5$ options:

The process variability has very likely shifted, but the process is in control and actually, it is a good thing, practically speaking.

The process is very likely not in statistical control, since the sampling suggests that both process variability and the process average may have shifted.

The process is very likely still in statistical control since the sampling suggests that the process average has not changed, although the process variability may have shifted.

The process is very likely not in statistical control, since the sampling suggests that the process variability has gone out of control although the sample means are still within their control limits$.$