Physical quality control issues have been plaguing a wearable pedometer manufacturer. The bands of the device do not always remain latched to the device causing it to fall off from time to time. The dimensions of the bands$$ latching mechanism have persistently been in statistical process control $($SPC$).$ The company utilizes X$-$bar charts and R$-$charts for the purpose of monitoring process control. Seven samples, each containing $3$ pedometer bands, were chosen from different batches. Relevant data is displayed in the table that follows.

Observation Sample $1$ Sample $2$ Sample $3$ Sample $4$ Sample $5$ Sample $6$ Sample $7$

$16\mathrm{.}025\mathrm{.}925\mathrm{.}885\mathrm{.}996\mathrm{.}055\mathrm{.}906\mathrm{.}02$

$25\mathrm{.}975\mathrm{.}845\mathrm{.}976\mathrm{.}086\mathrm{.}065\mathrm{.}965\mathrm{.}95$

$35\mathrm{.}925\mathrm{.}845\mathrm{.}886\mathrm{.}085\mathrm{.}985\mathrm{.}995\mathrm{.}82$

Average

Range

The upper control limit $($UCL$)$ for the X$-$bar chart will be $\_\_\_\_\_\_\_\_.$

Group of answer choices

greater than $6\mathrm{.}0$ but less than or equal to $7\mathrm{.}0$

less than or equal to $5\mathrm{.}0$

greater than $5\mathrm{.}0$ but less than or equal to $6\mathrm{.}0$

greater than $7\mathrm{.}0$