Runs 5 4 3 2 10 8 Labor Training Investment: $0.0 / Equipment Investment: $7.0k / Supplier Cost: $0.0 / QA Sampling Rate: $130 / Defects Found (QA): $16 Defects Found (Consumers): $1.8k / Extraordinary Failure Cost: $0.0 $8.9k $16.4k $22.0k $26.4k $26.2k $29.4k $32.2k $33.9k $36.6k $40.8k X 33.32 X2 28.23 X3 33.58 X 25.51 X5 31.13 X-bar 30.35 R 8.07 X-bar Chart 38 36 34 32 30 28 26 24 22 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM R Chart 24 22 20 18 16 14 12 10 8 6 4 2 T 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM Keeping the Process in Control While Minimizing Costs 9 internal defects * $3.20 $28.80 Number of Recalibrations 0 Number of Labor Changes This process 1,200 external defects $4.50 $5,400.00 Cost per Recalibration produced 1209 $75 Cost per Labor Change $100 total defects and Total Defect Costs $5,428.80 Total Recalibration Costs $0 Total Labor Change Costs $300 was out of control 4 times X-bar Chart 44 42 40 38 36 34 32 30 28 26 24 22 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM R Chart n w w w w w w m 22 20 18 16 14 12 10 8 6 4 2 0 T 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM Defects discovered Freq. 9 Freq. Defects shipped 1200 Effective Yield 96% Total Cost $5,811.30 RESET COPY DATA Frequency Determine whether each process is capable of producing to specifications Hospital Laundry The laundry department of a large hospital contains energy efficient industrial washing machines for laundering sheets and towels. High energy (HE) laundry detergent is automatically dispensed at the start of each load. If an insufficient amount of detergent is dispensed, the laundry will not be completely cleaned, while too much is unnecessarily costly and can damage the machine's bearings. 3 2 1- 7 9 8- LSL LCL UCL What is Hospital Laundry's process capability index? Spec Limits Lower Upper 6 1.5 1.62 Control Limits Lower Upper Is this process capable? 1.5535 1.5691 USL 0 NO 1.485 1.64 Laundry Detergent Dispensed per Load (oz) YES Frequency 0 Determine whether each process is capable of producing to specifications Tea Shop Herb's Tea Garden is a small tea shop specializing in blended loose leaf hot tea. Customers select from a variety of fine loose tea leaves, dried flowers and dried fruits to create their own unique tea blend. Because of the popularity of the tea shop, combined with the custom blending process, waiting times can sometimes be excessive; most customers would prefer to wait less than five minutes. Spec Limits Lower Upper 05 Control Limits Lower Upper 2.8665 3.3051 What is Tea Shop's process capability index? 5 Is this process capable? 2- LSL 5 LCL UCL Customer Wait Times (minutes) USL NO YES Determine whether each process is capable of producing to specifications Filled Donuts Bob's Bakery carries a wide variety of pastries, including his famous filled donuts. Each donut is injected with a flavored jelly or cream. The customers complain if they feel that there isn't a sufficient amount of filling in their donuts. Overfilled donuts are messy and waste costly filling. Spec Limits Lower Upper 0.32 0.38 What is Filled Donuts's process capability index? .37 6 5.5 5 4.5 4 3.5 3 2.5 2 1.5 LCL Frequency LSL 1 0.5 0 0.291 HI UCL USL Control Limits Lower Upper 0.315 0.365 Is this process capable? 0.414 Donut Weight (oz) NO YES Frequency Determine whether each process is capable of producing to specifications Tire Pressure One of the tasks on the turnaround list for a rental car agency is to check and adjust tire pressure. When a tire is over-inflated, it can cause a bouncy ride and poor handling. If it is under-inflated, it can cause premature wear due to increased friction. 6- 2- 1 0 30.2 LCL LSL Tire Air Pressure (psi) What is Tire Pressure's process capability index? 32 Spec Limits Lower Upper 35 33 Control Limits Lower Upper Is this process capable? 31.2763 33.8737 USL UCL 36 NO YES