5. Steering wheels in many vehicles are outfitted with an airbag and horn as well as...

  

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5. Steering wheels in many vehicles are outfitted with an airbag and horn as well as switches for controlling radio volume, cruise control, and other devices. Connecting these devices and switches to a steering wheel requires excellent positioning control during assembly. For this reason, hole location is closely monitored in the X, Y, and Z directions. The data below are X and R values for 25 samples of size n 4 for hole location data for the X- - axis dimension. Subgroup Numbe X r 1 2 3 4 5 сл 160 50.3 49.6 50.8 50.9 49.8 50.5 Range 0.73 0.75 0.79 0.74 0.72 0.73 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 50.2 49.9 50.0 50.1 50.2 50.5 50.4 50.8 50.0 49.9 50.4 50.5 50.7 50.2 49.9 50.1 49.5 50.0 50.3 0.71 0.70 0.65 0.67 0.65 0.67 0.68 0.70 0.65 0.66 0.67 0.68 0.70 0.65 0.60 0.64 0.60 0.62 0.60 Set up an X and R chart on this process. Interpret the chart. Does the process seem to be in control? If neces- sary, assume assignable causes and revise the trial con- trol limits. If the hole location is to be centered at 50.0, how does this process compare? 5. Steering wheels in many vehicles are outfitted with an airbag and horn as well as switches for controlling radio volume, cruise control, and other devices. Connecting these devices and switches to a steering wheel requires excellent positioning control during assembly. For this reason, hole location is closely monitored in the X, Y, and Z directions. The data below are X and R values for 25 samples of size n 4 for hole location data for the X- - axis dimension. Subgroup Numbe X r 1 2 3 4 5 сл 160 50.3 49.6 50.8 50.9 49.8 50.5 Range 0.73 0.75 0.79 0.74 0.72 0.73 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 50.2 49.9 50.0 50.1 50.2 50.5 50.4 50.8 50.0 49.9 50.4 50.5 50.7 50.2 49.9 50.1 49.5 50.0 50.3 0.71 0.70 0.65 0.67 0.65 0.67 0.68 0.70 0.65 0.66 0.67 0.68 0.70 0.65 0.60 0.64 0.60 0.62 0.60 Set up an X and R chart on this process. Interpret the chart. Does the process seem to be in control? If neces- sary, assume assignable causes and revise the trial con- trol limits. If the hole location is to be centered at 50.0, how does this process compare?