The next three questions are based on a food$-$processing factory, where the weight of cans of beans is monitored by weighing a sample of five randomly picked cans each day. The manufacturing process has been in control for the past several weeks, with the mean of sample means equaling $27\mathrm{.}93$ oz$.$ and the range of sample means equaling $2\mathrm{.}33$ oz$.$

Flag question: Question $4$

Question $41$ pts

Food Processing Scenario $-$ question A

What are the appropriate upper and lower control limits for the X$-$chart that will be used to monitor these weights?

Group of answer choices

UCL $=30\mathrm{.}26,$ LCL $=25\mathrm{.}60$

UCL $=34\mathrm{.}92,$ LCL $=20\mathrm{.}94$

None of these options are correct

UCL $=29\mathrm{.}28,$ LCL $=26\mathrm{.}58$

Flag question: Question $5$

Question $51$ pts

Food Processing Scenario $-$ question B

What are the appropriate upper and lower control limits for the R$-$chart?

Group of answer choices

UCL $=4\mathrm{.}49,$ LCL $=0$

UCL $=6\mathrm{.}99,$ LCL $=0$

UCL $=2\mathrm{.}33,$ LCL $=0$

UCL $=4\mathrm{.}92,$ LCL $=0$

Flag question: Question $6$

Question $61$ pts

Food Processing Scenario $-$ question C

New sampling results of the weights of samples of cans for this week are listed below. Is the process still in control?