Using this data, construct a 2k factorial model by restructuring the Supplier factor as two, two-level factors and treating Line as a fourlevel block. Use Minitab to generate a 25-2 model with one block and extract the relevant data from the provided dataset to complete the analysis. Discuss the validity and fit of the model and interpret the results including addressing aliased relationships.

Prod_Rate Number of widgets produced per hour

Facility Which facility (Facility 1 or Facility 2) was observed

Line Which production line (Line A, B, C, or D) was observed

Supplier Which supplier (A, B, C, or D) provided the raw material used during production

Training Whether operators had been trained within the last year

Shift Which shift (Day or Night) was observed

Prod_Rate/ Line / Facility/ Training /Shift /Supplier

801.1 D 1 No Day D

563.3 C 1 Yes Day B

579.7 D 1 Yes Day C

869.0 C 2 Yes Night C

494.9 A 1 Yes Night B

609.9 C 1 Yes Day C

569.6 A 2 No Night A

601.0 B 1 Yes Day B

909.7 A 2 Yes Night A

893.1 C 1 No Night A

780.7 D 1 No Day A

583.8 D 1 No Day C

566.4 B 1 Yes Day C

921.3 B 2 Yes Night B

635.9 B 1 No Night B

661.7 A 2 No Day C

640.6 C 2 No Night D

617.9 D 1 Yes Day A

598.5 C 1 No Night B

733.4 A 2 No Night B

737.8 D 1 No Night C

882.7 A 2 Yes Night D

809.5 A 2 No Night C

804.1 C 1 No Night C

874.9 A 1 No Night A

417.1 C 1 Yes Night C

863.2 B 2 Yes Day D

701.3 B 1 No Day B

908.8 A 2 Yes Day A

505.4 C 1 No Night D

906.5 D 2 Yes Night D

626.4 A 2 No Day D

866.4 D 1 No Night A

569.4 B 1 No Night D

587.5 A 1 Yes Day D

742.7 C 1 Yes Day D

477.6 B 1 Yes Night C

726.3 A 2 No Night D

506.5 A 1 No Night D

497.1 C 1 Yes Night D

527.1 D 1 No Night D

841.9 B 1 No Night C

927.2 B 2 Yes Night D

588.4 D 1 Yes Day B

949.7 B 2 Yes Night C

923.2 C 2 Yes Night B

449.0 D 1 Yes Night C

905.4 A 2 Yes Day C

622.5 B 1 Yes Day A

717.1 C 2 No Night B

700.6 B 2 No Night D

884.5 D 2 Yes Day D

472.1 B 1 Yes Night D

779.4 B 1 No Day D

869.0 A 2 Yes Day D

865.7 B 2 No Night C

940.4 A 2 Yes Night C

601.0 A 1 Yes Day B

882.8 C 2 Yes Day C

919.7 D 2 Yes Night C

912.8 D 2 Yes Day B

702.9 B 2 No Night B

703.3 A 1 No Day B

683.8 C 2 No Day C

622.4 D 1 No Night B

648.8 C 1 Yes Day A

908.4 B 2 Yes Day A

688.1 B 2 No Day C

632.8 A 1 No Night B

620.8 C 1 No Day C

910.2 D 2 No Day A

584.9 D 2 No Night A

562.7 A 1 Yes Day C

583.5 B 1 Yes Day D

876.1 A 2 No Day A

430.5 A 1 Yes Night A

967.4 C 1 No Day B

831.3 B 1 No Night A

910.8 D 2 Yes Night B

689.2 D 2 No Night D

813.0 C 1 No Day D

899.4 D 2 No Day B

624.4 B 2 No Night A

680.4 A 1 No Day A

461.9 D 1 Yes Night A

544.5 A 1 No Day C

811.7 B 1 No Day A

458.1 B 1 Yes Night A

497.1 C 1 Yes Night A

882.7 B 2 Yes Night A

852.8 D 2 No Night C

893.5 A 2 No Day B

645.8 C 2 No Day D

560.8 C 2 No Night A

932.5 B 2 No Day B

586.2 B 1 No Day C

941.1 C 2 Yes Day A

637.9 D 1 Yes Day D

499.8 A 1 Yes Night D

442.0 D 1 Yes Night B

567.4 A 1 No Night C

416.3 C 1 Yes Night B

810.8 A 1 No Day D

887.6 B 2 Yes Day C

909.7 C 2 Yes Night D

850.0 C 1 No Day A

891.9 D 2 Yes Day C

677.9 D 2 No Day C

582.4 A 1 Yes Day A

717.8 D 2 No Night B

944.0 B 2 Yes Day B

489.7 D 1 Yes Night D

927.2 C 2 Yes Day B

915.1 C 2 No Day A

939.3 B 2 No Day A

790.7 D 1 No Day B

883.2 C 2 No Night C

414.6 B 1 Yes Night B

603.8 B 2 No Day D

919.4 D 2 Yes Day A

921.2 C 2 Yes Day D

872.1 C 2 No Day B

625.4 D 2 No Day D

885.9 D 2 Yes Night A

865.2 C 2 Yes Night A

887.9 A 2 Yes Night B

452.4 A 1 Yes Night C

867.2 A 2 Yes Day B