Case Problem $4$ Cut$-$Rate Machining, Inc. Jon Weideman, first shift foreman for Cut$-$Rate Machining, Inc., is attempting to decide on a vendor from whom to purchase a drilling machine. He narrows his alternatives to four vendors: The Hole$-$Maker, Inc. $($HM$)$; Shafts & Slips, Inc. $($SS$)$; Judge's Jigs $($JJ$)$; and Drill$-$for$-$Bits, Inc. $($DB$).$ Each of these vendors is offering machines of similar capabilities at similar prices, so the effectiveness of the machines is the only selection criteria that Mr$.$ Weideman can use. He invites each vendor to ship one machine to his Richmond, Indiana manufacturing facility for a test. He starts all four machines at $8$:$00$ A$.$M$.$ and lets them warm up for two hours before starting to use any of the machines. Sometime after the warmup period, one of his employees will use each of the shipped machines to drill $3-$centimeter$-$diameter holes in $25-$centimeter$-$thick stainless$-$steel sheets for two hours. The widths of holes drilled with each machine are then measured and recorded. The results of Mr$.$ Weideman's data collection are shown in Table $2\mathrm{.}22.$