At the EXO Hotel, manager Kai collected extremely precise data in minutes on check$-$in times using a sample $($sub$-$group$)$ of $6$ check$-$ins per day over a period of $30$ days. An excerpt of that data, consisting of the first $3$ days of data, are shown below $($no Excel file and no calculations needed for this question$).$ Observations $123456$ Day $16\mathrm{.}004\mathrm{.}337\mathrm{.}337\mathrm{.}006\mathrm{.}005\mathrm{.}00$ Day $25\mathrm{.}758\mathrm{.}252\mathrm{.}334\mathrm{.}255\mathrm{.}757\mathrm{.}50$ Day $37\mathrm{.}007\mathrm{.}756\mathrm{.}756\mathrm{.}257\mathrm{.}006\mathrm{.}50$ Kai would like your help in identifying what control chart$($s$)$ to use. Please identify and report the type of control chart$($s$)$ that would be appropriate if this data $($for all $30$ days$)$ is available, and provide a one$-$sentence justification for the same. Describe in words how you would go about calculating the Center Line$($s$)$ for the control chart$($s$)$ including what you would need to get from each of the $30$ samples individually and from all $30$ samples together.