Problem $2$

$(15$ pts$)$

The engineers at the facility asked some Tec de Monterrey students to design a fixture to make the drilling process for the piece described in Problem $1$ faster than it currently is$.$ To verify if the objective was accomplished, $17$ samples using the new fixture were taken. The registered times are shown below:

$\backslash$table$[[$Piece ID$,\backslash$table$[[$Drill time for$],[$piece$],[48$Tc$003814],[($seconds$)]]],[1,8\mathrm{.}5],[2,12\mathrm{.}3],[3,12\mathrm{.}42],[4,9\mathrm{.}44],[5,7\mathrm{.}59],[6,5\mathrm{.}78],[7,7\mathrm{.}39],[8,9\mathrm{.}54],[9,9\mathrm{.}33],[10,8\mathrm{.}5],[11,9\mathrm{.}74],[12,9\mathrm{.}14],[13,8\mathrm{.}2],[14,7\mathrm{.}31],[15,6\mathrm{.}83],[16,9\mathrm{.}26],[17,7\mathrm{.}69]]$

Considering the data from Problem $1$ and the data for this problem, can we say that the fixture made the drilling process faster? Justify your answer.$(9$ pts$)$

Considering that it was expected to reduce the drilling time to $10$ or less seconds per piece, can we say this objective was achieved? Justify your answer. $(6$ pts$)$