Black Belt Exam WARNING!!!!! If you refresh your browser or close this page before completing the exam, your answers will not be saved! 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051 Black Belt Exam Black Belt exam for students using Excel add-ins SuperEasyStats and DOEPro 1 / 51 Your name (you will not get credit for your answers if you don't enter your name!) Check 2 / 51 A company is trying to optimize their product manufacturing process, so they conduct a VSM. They find that the Inspection station seems to be a bottleneck. They sample the Inspection station’s cycle times each day for a week. Using the chart and the data, select the closest estimate of the Operational Equipment Effectiveness (OEE) for the Inspection Station. (click here for larger image) 35% 98% 38% 94% 3 / 51 If an Inspection Station has a historical reject rate of 5%, what is the chance they will see 5 rejects out of 100 units inspected? 72% 5% 100% 18% 4 / 51 If an Inspection Station has a historical reject rate of 0.5%, what is the chance they will see 3 or more rejects out of 200 units inspected? 92% 6.1% 7.9% 1.87% 5 / 51 The average time for a student to complete the Green Belt exam is 3 hours and 20 minutes with a standard deviation of 20 minutes. The times are normally distributed. Among a recent group of test takers, one student completed the exam in 1 hour and 30 minutes, and another took 4 hours and 10 minutes. What is the probability that a student will take less than 1 hour and 30 minutes or more than or 4 hours and 10 minutes to complete the exam? 11.72% 5.31% 0.62% 99.38% 6 / 51 A woodcutting operation cuts boards to an average length of 8 feet with a standard deviation is 3.5 inches. The board lengths are normally distributed. What is the probability that they will cut a board shorter than 92 inches or longer than 100 inches? 18.1% 25.3% 12.6% 74.7% 7 / 51 A plastic molding station is trying to reduce scrap. They begin capturing and measuring the amount of scrap generated for each build. They find that the average amount of scrap per build is 17.6 ounces with a standard deviation of 5.3 ounces. The 25% of builds with the least amount of scrap fall below what value? 14.025 ounces 16.534 ounces 9.681 ounces 18.774 ounces 8 / 51 A training organization has all new employees take an exam after attending a series of classes intended to teach them how to use the internal document control system. The average score on the exam is 81% with a standard deviation of 6.7%. The scores are normally distributed. What is the score below which the bottom 5% of results fall? 65.4 58.3 60.9 69.9 9 / 51 A hard drive manufacturer finds that their average time to failure is 4000 hours. They want to warranty that their drives will last at least 1000 hours. What is the chance that a drive will fail within 1000 hours? 7.43% 22.12% 10.88% 15.33% 10 / 51 A regional airport determines that during peak hours (9am - 4pm Tuesday through Friday), on average they manage an incoming flight every 5 minutes. What is the probability of a flight arriving within 2 minutes of the previous flight? 47.3% 67.03% 32.9% 17.6% 11 / 51 A factory tracks accidents and finds that they experience and average of 2 accidents per month. What is the probability that they will suffer 5 or more accidents in a single month? 18.4% 98.3% 5.3% 1.6% 12 / 51 A company sets up kaizen system to allow employees to submit improvement ideas. Over the past year the the system has received an average of 12 suggestions per week. Recently the number of suggestions has jumped to between 16 and 18. If the average number of submissions really is 12 per week, what is the probability of receiving between 16 and 18 submissions in a single week? 96.2% 11.8% 3.8% 88.2% 13 / 51 Select the 8 classic categories of waste in Lean thinking. Inventory Mistakes Defects Motion Overproduction Underutilization/Skills Urgency Waiting Time Overcommitment Waste Transportation Oversimplification Inefficiency Overprocessing Underproduction 14 / 51 The amount of time someone spends actually working on a task, not including interruptions is called: Changeover time Lead time Process time 15 / 51 The total amount of time required to complete a process step, including interruptions and other delays is called: Changeover time Process time Lead time 16 / 51 The amount of time that elapses when a machine is stopped on purpose to set it up for a different task is called: Changeover time Lead time Process time 17 / 51 The calculation for takt time is which of the following? Customer demand / cycle time Cycle time / Time available Time available / Cycle time * Available employees Time available / Customer demand 18 / 51 Kanban is a system that allows us to control... Overprocessing Inventory Defects Time 19 / 51 Which of the following indicate opportunities for improvement on a current state value stream map? (select all that apply) Short cycle times Large discrepancies between process time and lead time Process steps that are operating more slowly than the step before them Long wait times between steps Steps with %Complete and Accurate (%C/A) below 100% 20 / 51 Based on the information shown here, what waste do we know will result from these two steps in a VSM? (click here for larger image) Overprocessing of parts in the first step Excess transportation of subassemblies from the supplier Too much operator motion in the second step Inventory piling up between the two steps 21 / 51 When building our future state VSM, we must look at the current state and determine if the steps are: Legal, compliant, or non-value-add but required Value-add, useful and cost-effective Value-add but not required, time-efficient or defective Value-add, non-value-add, or non-value-add but required 22 / 51 When conducting a current state VSM, it is recommended that you have the team do what before starting the mapping session? Propose solutions Speculate on possible causes Walk the gemba Avoid sharing information so other members of the team don't become biased 23 / 51 When conducting a 5-why analysis, it is important to check our work by starting at answer to the final "why", and work backwards by saying... "but not..." "therefore..." "who?" "why not?" 24 / 51 When building a fishbone diagram, common categories for the "bones" are (select all that apply): Problems Kanban Machines Reasons People Mother Nature (environment) Materials Waste Documents Mistakes Methods Measurement 25 / 51 A company has newly hired sales associates watch a series of five training videos that are each one hour long before starting in their new positions. A group of 20 employees were tracked and the number of minutes of each video they watched was recorded. The sales manager then calculated how many workdays elapsed before the new associates made their first successful sale. Analyze this data and answer the question below: Using an alpha of 0.05 as your threshold for significance, what is the prediction equation for Days to first sale? (click here for larger image) Days to first sale = 22.326 - 4.817*A - 3.057*B + 7.185*D Days to first sale = 23.244 -5.236*A - 3.761*B - 3.153*C + 7.749*D -0.41350*E + 3.145*AB Days to first sale = 22.645 - 4.433*A - 2.890*B - 2.223*C + 7.672*D Days to first sale = 23.136 - 5.364*A - 3.726*B - 2.945*C + 7.737*D + 3.051*AB 26 / 51 A company has newly hired sales associates watch a series of five training videos that are each one hour long before starting in their new positions. A group of 20 employees were tracked and the number of minutes of each video they watched was recorded. The sales manager then calculated how many workdays elapsed before the new associates made their first successful sale. Analyze this data and answer the question below: In order minimize Days to first sale, how many minutes of Video 4 (factor D) should the sales associates watch? (click here for larger image) 8.3256 42.263 60 0 27 / 51 A company has newly hired sales associates watch a series of five training videos that are each one hour long before starting in their new positions. A group of 20 employees were tracked and the number of minutes of each video they watched was recorded. The sales manager then calculated how many workdays elapsed before the new associates made their first successful sale. Analyze this data and answer the question below: Which, if any, observations are influencing the model? (click here for larger image) None of them Run #5 Run#15 Run #7 28 / 51 A company has newly hired sales associates watch a series of five training videos that are each one hour long before starting in their new positions. A group of 20 employees were tracked and the number of minutes of each video they watched was recorded. The sales manager then calculated how many workdays elapsed before the new associates made their first successful sale. Analyze this data and answer the question below: What recommendations do you have to streamline the training program? (select all that apply) (click here for larger image) Eliminate video 4 (D) Have each associate watch video 4 (D) twice Eliminate video 1 (A) Eliminate video 3 (C) Eliminate video 2 (B) Eliminate video 5 (E) 29 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: What DOE design is recommended for this experiment? 23-1 fractional factorial design L12 Screening design Box Behnken design Central Composite design 30 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: Using an alpha of 0.10 as your threshold for significance, what factors are significant in the Y-hat model? (select all that apply) ABC CC BB C AB AA AC BC B A 31 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: Using an alpha of 0.10 as your threshold for significance, what factors are significant in the S-hat model? (select all that apply) AB A AC AA CC B ABC C BB BC 32 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: Based on the Y-hat marginal means plot, how does the average Customer Satisfaction score (the output) behave as the cabin temperature moves from the low setting to the high setting? Satisfaction is lower when temperature is at the low setting, then rises at the midpoint, and then falls again as it moves to the high setting Satisfaction is high when temperature is at the low setting, then goes down as the temperature moves to the midpoint, and goes down further as it moves to the high setting Satisfaction is low when temperature is at the low setting, then rises as the temperature moves to the midpoint, and rises further as it moves to the high setting Satisfaction is higher when temperature is at the low setting, goes down at the midpoint, and then rises again as it moves to the high setting 33 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: Based on the S-hat marginal means plot, how does standard deviation of Customer Satisfaction (the output) behave as the cabin lighting moves from the low setting to the high setting? The standard deviation starts low when cabin lighting is at the low setting, goes up at the midpoint and continues to go up at the high setting. The standard deviation starts high when cabin lighting is at the low setting, goes down at the midpoint, then goes up again at the high setting. The standard deviation starts low when cabin lighting is at the low setting, goes up at the midpoint, then goes down again at the high setting. The standard deviation starts high when cabin lighting is at the low setting, goes down at the midpoint and continues to go down at the high setting. 34 / 51 An aviation startup company is developing an electric plane for use on short commuter routes. They have successfully flown their plane in tests but now want to make it customer friendly. They will fly a set route multiple times with different aircraft “settings” and then survey the passengers about their satisfaction with the comfort of the flight. The following are the three factors they will experiment with. Due to power restrictions, they can’t maximize all settings at the same time. (click here for larger image) Analyze this data and answer the question below: What are the optimized settings that equally balance maximizing the average Customer Satisfaction score and minimizing its standard deviation? Speed = 300 knots, Cabin temperature = 70°F, Cabin lighting = 400 lux Speed = 300 knots, Cabin temperature = 65°F, Cabin lighting = 200 lux Speed = 277 knots, Cabin temperature = 75°F, Cabin lighting = 400 lux Speed = 300 knots, Cabin temperature = 68°F, Cabin lighting = 243 lux 35 / 51 A manufacturer of specialized textiles is trying to maximize the strength of the bond between two materials that they join with a proprietary adhesive. There are 9 factors they are experimenting with, as shown below: (click here for larger image) Analyze this data and answer the question below: Which factors are significant in Y-hat? (select all that apply) B AB A D H F C G E I 36 / 51 A manufacturer of specialized textiles is trying to maximize the strength of the bond between two materials that they join with a proprietary adhesive. There are 9 factors they are experimenting with, as shown below: (click here for larger image) Analyze this data and answer the question below: Which factors are significant in S-hat? (select all that apply) E A B H D G C I AC F AB 37 / 51 A manufacturer of specialized textiles is trying to maximize the strength of the bond between two materials that they join with a proprietary adhesive. There are 9 factors they are experimenting with, as shown below: (click here for larger image) Analyze this data and answer the question below: What immediate actions would you take to improve the process? (select all that apply) Train operators to only pre-heat the surface to 70° Train operators to make sure the press is held at 200psi during bonding Train operators to always use only 10g of adhesive Train operators to only wait 5 minutes before pressing the surfaces together 38 / 51 A manufacturer uses heat-sealed polystyrene to wrap parts for shipment to customers. They hold the seal time constant at 2 seconds, but conduct a DOE to better understand how the other two input variables: pressure (35 - 45 psi) and temperature (90°C -105°C) affect seal strength (measured in psi). Analyze this data and answer the question below (use an alpha of 0.05 as your threshold of significance): Which statement best describes the interaction in the Y-hat model? There is no significant interaction When pressure is at the low setting, temperature is not significant, but when pressure is at the high setting, temperature is significant When temperature is set to 90°, the seal strength increases when pressure moves from the low setting to the high setting, but when temperature is 105°, the seal strength decreases when pressure moves from the low setting to the high setting. When temperature is set to 90°, the seal strength decreases when pressure moves from the low setting to the high setting, but when temperature is 105°, the seal strength increases when pressure moves from the low setting to the high setting. 39 / 51 A manufacturer uses heat-sealed polystyrene to wrap parts for shipment to customers. They hold the seal time constant at 2 seconds, but conduct a DOE to better understand how the other two input variables: pressure (35 - 45 psi) and temperature (90°C -105°C) affect seal strength (measured in psi). Analyze this data and answer the question below (use an alpha of 0.05 as your threshold of significance): Which statement best describes the interaction in the S-hat model? When pressure is at the high setting, the standard deviation is insignificant When temperature is set to 90°, the standard deviation increases when pressure moves from the low setting to the high setting, but when temperature is 105°, the standard deviation decreases when pressure moves from the low setting to the high setting. When temperature is set to 90°, the standard deviation decreases when pressure moves from the low setting to the high setting, but when temperature is 105°, the seal strength increases when pressure moves from the low setting to the high setting. There is no significant interaction 40 / 51 A manufacturer uses heat-sealed polystyrene to wrap parts for shipment to customers. They hold the seal time constant at 2 seconds, but conduct a DOE to better understand how the other two input variables: pressure (35 - 45 psi) and temperature (90°C -105°C) affect seal strength (measured in psi). Analyze this data and answer the question below (use an alpha of 0.05 as your threshold of significance): Create a contour plot for the Y-hat model. The manufacturer would like achieve a seal strength above 65 psi, but would also prefer to limit the input pressure to no more than 42 psi. Based on what you see, is it possible to achieve both goals? Yes No 41 / 51 A retail store wants to see if the amount of the average customer sale is affected by the following variables: Time of day, Customer traffic, Day of week. They gather historical data from the previous five weeks and set up a custom design. (click here for larger image) Analyze this data and answer the question below: Using an alpha of 0.05 as your threshold of significance and following our rule of thumb for tolerances, optimize your model. Which factor(s) are significant? (check all that apply) A B AB BC AC C ABC BB AA 42 / 51 A retail store wants to see if the amount of the average customer sale is affected by the following variables: Time of day, Customer traffic, Day of week. They gather historical data from the previous five weeks and set up a custom design. (click here for larger image) Analyze this data and answer the question below: Using an alpha of 0.05 as your threshold of significance and following our rule of thumb for tolerances, optimize your model. Using the multiple response optimizer, which day is predicted to have the highest sales? Saturday Friday Thursday Wednesday Tuesday Monday 43 / 51 A retail store wants to see if the amount of the average customer sale is affected by the following variables: Time of day, Customer traffic, Day of week. They gather historical data from the previous five weeks and set up a custom design. (click here for larger image) Analyze this data and answer the question below: Using an alpha of 0.05 as your threshold of significance and following our rule of thumb for tolerances, optimize your model and generate a residual sheet. Which, if any, residuals concern you? Run #1 Run #10 Run #16 None of the residuals are concerning Run #9 44 / 51 A logistics engineer is setting up a new machine. There are 5 configurable settings and she would like to conduct a DOE to build a linear model but is concerned about how many samples she will need to gather. What design would you recommend? Taguchi L18 Box Behnken 25 Full Factorial 25-1 Fractional Factorial 45 / 51 What is the main concern with "one-factor-at-a-time" experimentation? It fails to identify interactions Two way interactions are always aliased with three way interactions It can only be used with linear systems It can't be used to study standard deviation 46 / 51 If you are planning an experiment on a system but you're not sure if it behaves in a linear or non-linear way, which design is best? Taguchi L12 Central Composite Box Behnken 2 level full factorial 47 / 51 A manufacturer needs to measure the width of an assembly. The target width is 20cm, ±0.5. A series of sample measurements was taken and can be found here. What is the probable error of the measurement system? 0.7 0.1 0.3 0.5 48 / 51 A manufacturer needs to measure the width of an assembly. The target width is 20cm, ±0.5. A series of sample measurements was taken and can be found here. Based on your calculation of probable error, what concern, if any, do you have about the measurement system? Poor reproducibility Not all of the sampled parts were in spec No concerns Based on the calculated probable error, a part measured at the target value of 20cm has a chance of being out-of-spec The measurement tool is biased 49 / 51 A necessary condition for successful change efforts is: Printed documents describing the change An active, engaged sponsor Extra time 100% buy-in from all stakeholders at the start 50 / 51 The main question in people's minds when they become aware of a change is often: Who is responsible? How does this change affect you? What does my boss think? How does this change affect me? 51 / 51 A communications plan for a change effort must consider the following (select all that apply)? How much each person will be paid Who will deliver the message How you will manage resistance Who needs to receive communications about the change Your score is