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Free Certified Lean Six Sigma Black Belt (CLSSBB) Practice Questions

Question # 31

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:

Options:

A.  

A and B are mutually exclusive

B.  

the probability that both A and B occur is 0.3264

C.  

A and B can’t both occur

D.  

the probability that A occurs is 1-(probability that B occurs)

E.  

A and B have different standard deviations

Discussion 0
Question # 32

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?

Options:

A.  

yes

B.  

no

C.  

all of the above

Discussion 0
Question # 33

The primary metric for a project is reduced cost for process A .A consequential metric could be:

Options:

A.  

reduced cycle time

B.  

reduced scrap rate

C.  

reduced set-up time

D.  

all the above

E.  

none of the above

Discussion 0
Question # 34

Find the value of (4) in the ANOVA table. Assume:

Question # 34

Options:

A.  

16.4

B.  

3.2

C.  

18.6

D.  

23.2

E.  

4.54

F.  

12.2

G.  

0.525

Discussion 0
Question # 35

A population of size 1,000,000 has mean 42 and standard deviation 6. Sixty random samples, each of size 15 are selected. According to the Central Limit Theorem the distribution of the sixty sample means has a mean of approximately:

Options:

A.  

42

B.  

42/6

C.  

42/15

D.  

42/ 15

E.  

none of the above

Discussion 0
Question # 36

An experiment has seven factors with two levels each. The experiment has eight runs. This experimental design is called:

Options:

A.  

full factorial design

B.  

half fractional factorial design

C.  

interaction

D.  

none of the above

Discussion 0
Question # 37

A team wants a technique for improving consistency of assembly operations. They should use:

Options:

A.  

written and diagrammed work instructions

B.  

flow charts and process maps

C.  

cause and effect diagrams

D.  

Pareto chart

E.  

relationship matrix

Discussion 0
Question # 38

A team wants a technique for determining and displaying priorities based on frequency of various defect types. They should use:

Options:

A.  

written and diagrammed work instructions

B.  

flow charts and process maps

C.  

cause and effect diagrams

D.  

Pareto chart

E.  

relationship matrix

Discussion 0
Question # 39

A random sample is selected from a population of measurements. The mean of the sample is not equal to the mean of the population. This is due to:

Options:

A.  

Type I error

B.  

Type II error

C.  

sampling error

D.  

the population is not normal

E.  

measurements were not exact

Discussion 0
Question # 40

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:

Options:

A.  

communication link between gage and computer

B.  

compatibility of software in the gage and in the computer

C.  

adequate manual over-rides

D.  

all of the above

Discussion 0

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