An automatic filling machine is used to fill $1-$liter bottles of cola. The machine's output is approximately normal with a mean of $1\mathrm{.}00$ liter and a standard deviation of $0\mathrm{.}05$ liter. Output is monitored using means of samples of $29$ observations. Use Table$-$A$.$ a$.$ Determine upper and lower control limits that will include roughly $97$ percent of the sample means when the process is in control. $($Do not round intermediate calculations. Round z value to $2$ decimal places. Round your answers to $4$ decimal places.$)1\mathrm{.}0201$ liter Upper control limits: Lower control limits: $0\mathrm{.}9799$ liter b$.$ Given these sample means: $1\mathrm{.}005,1\mathrm{.}001.\mathrm{.}998,1\mathrm{.}002,\mathrm{.}995,$ and $\mathrm{.}999,$ is the process in control? Yes NO

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