The following control chart was created using process data. Note that the calculated value for the LCL is actually$-1\mathrm{.}92.$ Do the following, based on the information provided on the chart. Round all calculations to at least four $(4)$ decimal places

a$)$ In preparation for performing the pattern test, calculate the values for each zone $($show your calculations$).(2$ points$)$

b$)$ Draw each zone line and CLEARLY write the number associated with each line beside it just as is shown for the UCL, CL$,$ and LCL$.(2$ points$)$

c$)$ Label each zone. $(2$ points$)$

d$)$ Are any of the pattern test patterns present? If so$,$ which ones? $(2$ points$)$

e$)$ Is this process considered to be in control? Thoroughly explain why or why not. $(2$ points$)$