The following exercises require the use of a computer and software.Use a5% significance…

The following exercises require the use of a computer and software.Use a5% significance level.14.98Xr14-98The headrests on a car’s front seats aredesigned to protect the driver and front-seat pas-senger from whiplash when the car is hit frombehind. The frame of the headrest is made frommetal rods. A machine is used to bend the rod intoa U-shape exactly440 millimeters wide. The widthis critical; too wide or too narrow and it won’t fitinto the holes drilled into the car seat frame. Thecompany has experimented with several differentmetal alloys in the hope of finding a material thatwill result in more headrest frames that fit. Anotherpossible source of variation is the machines used.To learn more about the process the operationsmanager conducts an experiment. Both of themachines are used to produce 10 headrests fromeach of the five metal alloys now being used. Eachframe is measured and the data (in millimeters) arerecorded using the format shown here. Analyze thedata to determine whether the alloys, machines, orboth are sources of variation.Column 1: Machine 1, rows 1 to 10 alloy A, rows11 to 20, alloy BColumn 2: Machine 2, rows 1 to 10 alloy A, rows11 to 20, alloy B