Certified Six Sigma Black Belt Simulated Exam

Front 1

optimizing individual processes

Back 1

A frequent cause of system suboptimization is:

Front 2

Dr W. Edwards Deming:

Back 2

lectured in Japan after World War II, was an author of several books in the US, lectured widely in the US, is considered an expert in the quality field

Front 3

impact the bottom line of the enterprise

Back 3

Successful Six Sigma projects always:

Front 4

should not be approved

Back 4

Proposed Six Sigma projects that are not in some way linked to organizational goals:

Front 5

Dr. Joseph M. Juran

Back 5

lectured in Japan after WWII, was author of several books in the US, is considered an expert in the quality field

Front 6

should not be approved

Back 6

A project whose definition does not include performance metrics:

Front 7

identify the customer

Back 7

An important first step in determining the VOC is:

Front 8

Quality function deployment is a tool to aid in:

Back 8

linking customer requirements to product features

Front 9

0.992

Back 9

A process produced 1394 units. During this time 11 defects were detected. The rolled throughput yield (RTY) is approximately.

Front 10

right skewed

Back 10

The x^2 distribution is:

Front 11

√2.94 = 1.71

Back 11

The mean of a Poisson distribution is 2.94. Its standard deviation is:

Front 12

0.008

Back 12

Calculate the estimated variance of the population from which the following values have been randomly selected: 2.8, 2.7, 2.6, 2.9, 2.8, 2.8, 2.8

Front 13

standard deviation uses information from each measurement

Back 13

An advantage of using standard deviation rather than range for measuring dispersion of a large sample is that:

Front 14

-0.9

Back 14

Data are collected in xy pairs and a scatter diagram shows the points are grouped very close to a straight line that tips down on its right hand end. A reasonable value for the coefficient of correlation is:

Front 15

Any symmetric distribution with mode at the axis of symmetry will have mean=median=mode.

Back 15

The mean, median, and mode of a distribution have the same value. What can be said about the distribution?

Front 16

it varies from 0% to 99% inclusive

Back 16

Approximately what percent of the data values are smaller than the mean?

Front 17

determine whether the distribution is normal

Back 17

A normal probability plot is used to

Front 18

eliminating, simplifying, or reducing non-value added activities

Back 18

As opposed to earlier emphases, lean manufacturing tends to stress:

Front 19

False

Back 19

True or False, Work performed by the payroll department is considered value added activity

Front 20

reducing the rate for some processes

Back 20

In the theory of constraints the "subordinate" step refers to:

Front 21

relationship matrix

Back 21

A team wants a technique for displaying the connection between various customer needs and various features on a product. They should use:

Front 22

right-tail test

Back 22

The average yield from a small batch process has been 83%. A new catalyst is available which is designed to increase average yield by at least 5 percentage points. A sample of 45 batches is run with the new catalyst. The average yield of this sample is 90% and the standard deviation of the sample yields is 2.8%. A hypothesis test with α = 0.05 will be used to determine whether the sample data indicate that the new catalyst does increase the average yield by at least 5 percentage points.

This will be a:

Front 23

1.645

Back 23

The average yield from a small batch process has been 83%. A new catalyst is available which is designed to increase average yield by at least 5 percentage points. A sample of 45 batches is run with the new catalyst. The average yield of this sample is 90% and the standard deviation of the sample yields is 2.8%. A hypothesis test with α = 0.05 will be used to determine whether the sample data indicate that the new catalyst does increase the average yield by at least 5 percentage points.

The critical value is:

Front 24

cause and effect diagrams

Back 24

A team wants a technique for obtaining a larger number of possible reasons for excess variation in a dimension. They should use:

Front 25

1.25

Back 25

The average yield from a small batch process has been 83%. A new catalyst is available which is designed to increase average yield by at least 5 percentage points. A sample of 45 batches is run with the new catalyst. The average yield of this sample is 90% and the standard deviation of the sample yields is 2.8%. A hypothesis test with α = 0.05 will be used to determine whether the sample data indicate that the new catalyst does increase the average yield by at least 5 percentage points.

The test statistic is approximately:

Front 26

not rejected

Back 26

The average yield from a small batch process has been 83%. A new catalyst is available which is designed to increase average yield by at least 5 percentage points. A sample of 45 batches is run with the new catalyst. The average yield of this sample is 90% and the standard deviation of the sample yields is 2.8%. A hypothesis test with α = 0.05 will be used to determine whether the sample data indicate that the new catalyst does increase the average yield by at least 5 percentage points.

The null hypothesis should be:

Front 27

drum

Back 27

The word "takt" is closest to the theory of constraints word:

Front 28

storming

Back 28

The team development stage characterized by expression of individual opinions and ideas often without regard for team objectives is known as:

Front 29

help a group reach a consensus

Back 29

Nominal group technique is used to:

Front 30

going beyond the problem into other problems, failing to cover the entire problem, misunderstanding and disagreement between team members regarding problem boundaries

Back 30

A Six Sigma project designed to solve a particular problem needs a definition/scope statement to avoid:

Front 31

the decrease in defect occurrence, the decrease in product cost, the decrease in cycle time

Back 31

An example of a project metric would be:

Front 32

reduces set up time: Single-Minute Exchange of Dies

Back 32

SMED is an acronym for activity that:

Front 33

a sample statistic is used to estimate a population parameter

Back 33

A correct statement about the relationship between the terms "parameter" and "statistic" is:

Front 34

events A and B are not disjoint or mutually exclusive

Back 34

A and B are events. P(A) = 0.80 and P(B) = 0.90.

Front 35

15.5, 16, 18

Back 35

Find the mean, median, and mode of the following data set: 9, 11, 12, 12, 14, 18, 18, 18, 20, 23

Front 36

1.523

Back 36

The diameters of 50 randomly selected shafts have a mean of 1.525 and standard deviation of 0.006. Find the 95% lower confidence limit for the population mean.

Front 37

0.92

Back 37

In a certain sampling situation, α = 0, β = 0.08. The power of the sampling plan in this case is:

Front 38

confused correlation with causation

Back 38

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:

Front 39

reduced cost

Back 39

A principle advantage of fractional factorial experimental designs is:

Front 40

confounding of effects

Back 40

A principle disadvantage of fractional experimental designs is:

Front 41

repeating an experiment more than once for a given set of predictor variables

Back 41

In an experimental design context, replication refers to:

Front 42

5.208

Back 42

Find the upper control limit for a range chart if n = 4 and the average range is 2.282.

Front 43

the engineer misused the control chart

Back 43

An X control chart has been established with control limits of 3.245 and 3.257, n=5. An engineer collects the following sample and plots the average on the control chart:

3.257, 3,256, 3.258, 3.259

Front 44

a set of problem solving tools which is Russian for Teorija Rezbenija Izobretaltelshih Zadach.

Back 44

TRIZ is an acronym which refers to:

Front 45

is resistant to varying environmental conditions

Back 45

A robust design is one which:

Front 46

affinity diagram

Back 46

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?

Front 47

cause and effect diagram

Back 47

A team has been asked to reduce the occurrence of a particular defect. They begin by brainstorming all possible causes using a:

Front 48

activity network diagram

Back 48

A team wants to make a schedule for a project showing which tasks must be done sequentially and which may be done simultaneously. Which tool is most appropriate?

Front 49

process decision program chart

Back 49

A complex system has many potential problems and solutions. These may be illustrated on which of the following?

Front 50

10, 1, 3

Back 50

An experiment is conducted by checking the effect that three different pressures have on the surface appearance of a product. Ten items are produced at each of the three pressures. The number of replications, factors, and levels are:

Front 51

27

Back 51

A full factorial experiment has three factors. Each factor has three levels. The number of test combinations or runs is:

Front 52

9.18%

Back 52

A sample of 100 parts has an average of 188 and standard deviation of 6. Assume the population is normally distributed.

What percent of population falls below the lower specification limits?

Front 53

0.56

Back 53

A sample of 100 parts has an average of 188 and standard deviation of 6. Assume the population is normally distributed.

Find Cp

Front 54

0.44

Back 54

A sample of 100 parts has an average of 188 and standard deviation of 6. Assume the population is normally distributed.

Find Cpk

Front 55

0.75

Back 55

Find the least squares regression equation of the type y = mx + b or y = b0 + b1x:

x 6 8 10
y 1 3 4

Find the value of m or b1.

Front 56

; b0 = Y-b1 X = (8/3)-(0.75 x 8) = -3.33

Back 56

Find the least squares regression equation of the type y = mx + b or y = b0 + b1x:

x 6 8 10
y 1 3 4

Find the value of b or b0.

Front 57

20

Back 57

Run # A B Responses
1 subtraction subtraction 20
2 subtraction addition 30
3 addition subtraction 40
4 addition addition 50

Calculate the main effect of factor A

Front 58

A+ and B+

Back 58

Run # A B Responses
1 subtraction subtraction 20
2 subtraction addition 30
3 addition subtraction 40
4 addition addition 50

If is is desirable to maximize the response R, the following levels should be used:

Front 59

u

Back 59

Number of scratches 6 5 7 5 6
Sample size 120 110 111 129 110

The appropriate control chart to use is:

Front 60

XmR

Back 60

The temperature in a storage location is logged once every 30 minutes. The control chart that is appropriate for displaying these values is:

Front 61

np

Back 61

A control chart is to be used to display the number of non-conducting diodes in a box of 1000. The appropriate control chart to use is:

Front 62

The eight differences are 0.3, 0.1, -0.1, 0.4, 0.5, 0.1, 0.5, and 0.5 and their average is 0.2875

Back 62

A team is asked to determine whether printer #2 prints typical company documents faster than printer #1. The team decides to use the paired t hypothesis test. They select eight documents and print each on each printer, assuming that the differences are normally distributed. The results:

Document # Ptr #1 Ptr 2#
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13

Find the average difference

Front 63

The standard deviation of the sample listed is 0.2295

Back 63

A team is asked to determine whether printer #2 prints typical company documents faster than printer #1. The team decides to use the paired t hypothesis test. They select eight documents and print each on each printer, assuming that the differences are normally distributed. The results:

Document # Ptr #1 Ptr 2#
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13

Find Sd.

Front 64

right tail; the average value for printer #1 exceeds the average value for printer #2

Back 64

A team is asked to determine whether printer #2 prints typical company documents faster than printer #1. The team decides to use the paired t hypothesis test. They select eight documents and print each on each printer, assuming that the differences are normally distributed. The results:

Document # Ptr #1 Ptr 2#
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13

Is this a left-tail, right tail or two tail test?

Front 65

1.895; Use the seventh row

Back 65

A team is asked to determine whether printer #2 prints typical company documents faster than printer #1. The team decides to use the paired t hypothesis test. They select eight documents and print each on each printer, assuming that the differences are normally distributed. The results:

Document # Ptr #1 Ptr 2#
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13

If α = 0.5, what is the critical value?

Front 66

d÷sd/√n

0.2895 ÷ 0.2295/ √8 = 3.57

Back 66

A team is asked to determine whether printer #2 prints typical company documents faster than printer #1. The team decides to use the paired t hypothesis test. They select eight documents and print each on each printer, assuming that the differences are normally distributed. The results:

Document # Ptr #1 Ptr 2#
1 4.2 3.9
2 5.6 5.5
3 2.8 2.9
4 7.1 6.7
5 11.5 11
6 8.2 8.1
7 12.3 11.8
8 13.5 13

What is the value of the test statistic?

Front 67

it is time to recalculate the control limits

Back 67

An X-R chart is used to monitor process. One week ago a new type of raw material was introduced, and since that time 60 points have been plotted on the X chart. All are in the middle third of the chart. The corresponding 60 points on the R chart are all below the average range. This indicated that

Front 68

the variation in measurements obtained by different people using the same measurement device

Back 68

In gage R&R studies, reproducibility refers to: