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A project that lacks a clear definition of its scope and boundaries runs the risk of:
SCENARIO
A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.
After some more work on the dryer, additional data are collected which when plotted looks like this:
Which type of variation dominates?
A team wants a technique for doing an initial study of a process that not every team member is familiar with. They should use:
A process shows the following number of defectives. Each sample size for this process is
85.3 8 2 7 7 6 8 8 9 5.
What control chart should be used?
At a particular time, three components are in parallel and each has a reliability of 0.98. What is the reliability of the system?
A black belt plans to test the performance of workers before and after training. Which of the following hypothesis tests should be used to determine whether the training actually improved the workers’ performance?
When a process has proven itself to function at a Six Sigma level this means there are less than ________ defects per million opportunities.
If the value of the test statistic had been 0.185, what action should have been taken regarding the null hypothesis?
When a team consists of five black belts and eight quality engineers, how many unique meetings could be held consisting of one black belt and two quality engineers?
Which of the following types of variation is LEAST likely to occur in sequential repetitions of a process over a short period of time?
The Toyota Production System, among other things, was the birthplace for the practice of _______________.
A newspaper article describes a high positive correlation between obesity and orange juice consumption among six-year-olds. Parents who restrict the use of orange juice for their children have:
This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 7?
Which of the following is the best way to enhance the long-term availability of a machine?
The mean, median and mode of a distribution have the same value. What can be said about the distribution?
Cost of Poor Quality (COPQ) can be classified as either Visible Costs or Hidden Costs but not both. (True/False)
Find the upper control limit for a range chart if n = 4 and the average range is 2.282.
Which of the following tools is commonly used in the define phase of a project?
A Black Belt is going to monitor the number of defects on different size samples. Which of the following control charts would be most appropriate?
The Organization Specification limits are + 5 or - 5 % whereas Control Limits are + 6 % & -2%, justify whether the Process is?
Which of the following charts plots the mean of a set of values and recalculates the mean with each new value?
This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 4?
A team has completed a brainstorming session that has generated a large number of ideas. The team needs to organize these ideas in natural groupings. Which tool is most appropriate?
According to Juran, when a major quality improvement project is launched, which of the following describes the desired change in performance level?
Lean removes many forms of ______________ so that Six Sigma can focus on reducing _______________.
(Refer to the previous problem) The variance of the five replications for each run is calculated. Most of these variances are approximately equal but two are significantly lower than the others. The experimenters would be especially interested in those two runs if they want to optimize:
The operators of a manufacturing cell work out a more orderly arrangement for tool storage and establish a schedule to maintain cleanliness on a daily basis. These improvements are best described by which approach to problem solving?
A population is bimodal with a variance of 5.77. One hundred samples of size 30 are randomly collected and the 100 sample means are calculated. The standard deviation of these sample means is approximately:
The team in the above problem draws arrows from Post-It® notes that are causes to notes that are the effects of these causes. This step is best described by which approach to problem solving?
A team wants a technique for determining and displaying priorities based on frequency of various defect types. They should use:
The primary metric for a project is reduced cost for process A .A consequential metric could be:
George is an employee of Black, Inc. John is George’s internal customer. Which statement is true?
A quality engineer employed by a hospital is asked to improve the process of medication storage in locked cabinets near patient doors. One defect that occurs rarely is that the medication caddy is left out when the cabinet is relocked. The engineer installs a gravity activated arm that will not permit the door to close when the caddy isn’t inside.
This improvement is best described by which approach to problem solving?
If the probability that event A occurs is 0.51, the probability that event B occurs is 0.64 and events A and B are statistically independent then:
Perform a risk analysis to determine the expected profit or (loss) from a project which has four possible disjoint outcomes:
Outcome A shows a profit of $340,000 and has a probability of 0.25.
Outcome B shows a profit of $120,000 and has a probability of 0.40.
Outcome C shows a loss of $40,000 and has a probability of 0.10.
Outcome D shows a profit of $100,000 and has a probability of 0.25.
A team working with a plant relocation is tasked with designing a process for moving 180 pieces of equipment. Incoming orders may need to be filled during the move at either the old site or the new one. Transportation equipment availability is uncertain. Construction schedules at the new site is very weather dependent. The team designs a chart that attempts to cover these and other contingencies with appropriate measures dealing with each.
The tool best fitted for this task is:
There are 14 different defects that can occur on a completed time card. The payroll department collects 328 cards and finds a total of 87 defects. DPMO =:
Samples of size n=36 are randomly selected from a population with mean ? = 125 and variance 12. Find the variance of the distribution of sample means.
A ____ from a sample is used to estimate a population _____. The two words that best fill these blanks are:
The primary metric for a project is reduced cost for process A. Baseline data might include:
P(A) = .42, P(B) = .58 P(A&B) = .10. Are A and B mutually exclusive (or disjoint)?
The leader in the quality movement who recommended that organizations “eliminate numerical quotas for the work force and numerical goals for management”:
In problem 1, do the data indicate that the population for machine A has a larger standard deviation?
The quality leader responsible for the term Total Quality Management (TQM):
The management team in the above problem assigns each goal a numerical value designating its importance. The “bulls eyes,” circles and triangles are replaced by the values 3, 2 and 1 respectively. Entries are made in each box by multiplying the 3, 2 or 1 by the goal value.
The importance of each activity is calculated by adding the entries in its row.
SCENARIO
A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.
Find the equation of the regression line for these sample data points: (1, 7) (3, 3) ( 3, 2) (5, –1)
This table displays the inventory of fasteners in a storage cabinet. An item is selected at random from the fastener cabinet.
Find the approximate probability it is larger than 1/2.
The following data were collected on the diameters of turned shafts: 2.506 2.508 2.505 2.505. These values are:
I. Attribute data
II. Discrete data
III. Variables data
IV. Continuous data
A team wants a technique for improving consistency of assembly operations. They should use:
A random sample of 2500 printed brochures is found to have a total of three ink splotches. The rate of ink splotches in PPM is:
An automatic gaging system is to be installed in a process. The gage will insert data values into a data base from which machine adjustments will be made automatically. A critical factor in specifying the equipment is:
A pharmaceutical manufacturer is designing an experiment to test four different capsule ingredients designed to reduce dissolution time. Each ingredient will be tested at 10 milligrams and 40 milligrams. A full factorial design is used with five replications per run. The number of levels, factors and runs is, respectively:
An experiment has seven factors with two levels each. The experiment has eight runs. This experimental design is called:
A machine tool vender wants to sell an injection molding machine. The current machine produces 3.2% defectives. A sample of 1100 from the vender’s machine has 2.9% defective. Do these numbers indicate that the proposed machine has a lower rate of defectives?
In a resolution III fractional factorial experimental design, main effects are confounded with:
A store uses signs at specific points in its storage area to indicate when products need to be ordered. This practice is an example of
The following is a set of individual measurements:
3 5 4 5 6 3 4 3 2 4 5 6 5 7 6 4 5 5 8 7 6 6 7 7 4
Find the control limits for the individuals chart.
In regression analysis, which of the following techniques can be used to reduce the higher-order terms in the model?
Which of the following describes the 95% confidence interval of a 20% absentee rate in a department with 30 people?
Which of the following techniques can be used in regression analysis to reduce higher-order terms in the model?
In a certain sampling situation, ???? = 0, ???? = 0.08. The power of the sampling plan in this case is:
One of the most popular measures of variability in a data set or population is ______________.
When Tricia empties a box of capacitors she places it at a designated spot on her work table. Sam notices the empty box and brings a full box of capacitors from the stock room. This is an example of:
An x-bar and R chart is used to monitor a process. One week ago a new type of raw material was introduced and since that time 60 points have been plotted on the xbar chart and all are in the middle third of the chart. The corresponding 60 points on the R chart are all below the average range. This indicates that:
A six sigma team has been formed to improve an existing process. Which of the following tools should the team use first to gain a clear understanding of the current process?
Positional, cyclical, and temporal variations are most commonly analyzed in
Voice of the Customer is a Lean Six Sigma technique to determine ____________________ attributes of a product or service.
All of the following experimental designs could be used to investigate interactions EXCEPT
The formula for reliability during constant failure rate conditions is: Use this formula to find the reliability of a product at 800 hours if MTBF = 600 hours.
A team wants a technique for displaying the connection between various customer needs and various features on a product. They should use:
A team has been asked to reduce the cycle time for a process. The team decides to collect baseline data. It will do this by:
A management team lists nine goals across the top of a rectangle and 15 activity initiatives along the left hand side of the rectangle. If one of the activities strongly supports one of the goals a circle is placed in the box where that activity’s row intersects the goal’s column. If the activity’s support is very strong a “bulls eye” is placed in the box and if the support is weak a triangle is used.
This best describes which problem solving tool?
This table displays the inventory of fasteners in a storage cabinet. An item is selected at random from the fastener cabinet. Find the approximate probability it is a bolt.
An engineer wants to try two hardening ovens to see whether they have different hardness scores. She cuts 8 pieces of bar stock in half, putting half of each in oven A and the other half in oven B. The following data are collected:
Do the data indicate that the ovens have different average scores? Assume differences are normally distributed.
The median is a better choice than the mean for a measure of central tendency if the data:
When comparing two vendors’ machines it is found that a sample of 1000 parts from machine A has 23 defectives and a sample of 1300 parts from machine B has 36 defectives. Do the data indicate that machine B has a higher rate of defectives?
A stable, normally distributed process with specification 3.50 .03 has = 3.51 and = .016. What percent of the production violates specification?
Deming called the technique of studying a sample to gain understanding of the distribution of a population an “enumerative study.” His main objection to these studies was:
A team wants a technique for obtaining a large number of possible reasons for excess variation in a dimension. They should use: