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The responsibilities of a Black Belt typically include all EXCEPT a. Developing

ID: 3208018 • Letter: T

Question

The responsibilities of a Black Belt typically include all EXCEPT
a. Developing a detailed project plan.
b. Scheduling and leading team meetings.
c. Training Team Members in Six Sigma concepts.
d. Overseeing data collection and analysis.
e. Coordinating action items to for implementation of solutions.
f. Determining effectiveness of actions taken.

The most technical training and knowledge in a typical six sigma organization would be associated with which of the
following roles?
a. Green Belt
b. Black Belt
c. Master Black Belt
d. Champion
e. Process Owner/Sponsor

A process is known to produce 20% defective parts. The probability that there will be less than two defectives in a
sample of size 10 drawn from the lot is approximately
a. 0.376.
b. 0.656.
c. 0.292.
d. 0.406.

Select the correct statement from among the following: The diameter of a certain rod is normally distributed with a
mean of 1.20". The proportion of rods with diameters less than 1.0" is
a. greater than the proportion of diameters larger than 1.2".
b. greater than 50%.
c. equal to the proportion of diameters larger than 1.40".
d. less than the proportion of diameters smaller than 0.5.

A quality control inspector is assigned the task of assessing the quantity of defects per unit on electrical
distribution panels which have been randomly selected at the end of an assembly line. Which statistical
distribution would be most appropriate for analyzing data from the process?
a. Weibull
b. Poisson
c. Exponential
d. Lognormal
e. Hypergeometric

The failure rate for a radar system follows an exponential distribution. If the mean time between failure has been found
to be 12 hours, what is the probability the system will be operational in 13.2 hours?
a. 0.403
b. 3.004
c. 1.220
d. 0.3329

In defining a lognormal distribution for values of y, the parameters and are
a. The mean and standard deviation of the possible outcomes of the lognormal observations.
b. The mean and standard deviation of the associated normal distribution where x= ln y.
c. The mean and standard deviation of the associated normal distribution where x= ey.
d. Used in the calculation of the probability mass function

Calls arrive at a help center at an average rate of 12 per hour following an exponential distribution. Given that you
have already waited 10 minutes, what is the probability that a call will occur in the next 5 minutes?
0.63
0.95
0.37
0.50

Explanation / Answer

1) The responsibilities of a Black Belt typically include all EXCEPT
d. Overseeing data collection and analysis.

2) The most technical training and knowledge in a typical six sigma organization would be associated with which of the following roles?

c. Master Black Belt

3) A process is known to produce 20% defective parts. The probability that there will be less than two defectives in a

sample of size 10 drawn from the lot is approximately
a. 0.376.

It follows binomial distribution

(excel formula: =BINOM.DIST(1,10,0.2,TRUE))

4) Select the correct statement from among the following: The diameter of a certain rod is normally distributed with a
mean of 1.20". The proportion of rods with diameters less than 1.0" is
correct ans are:
c. equal to the proportion of diameters larger than 1.40".
d. less than the proportion of diameters smaller than 0.5.

reason: since Normal distribution is symmetry about mean 1.2

5) A quality control inspector is assigned the task of assessing the quantity of defects per unit on electrical
distribution panels which have been randomly selected at the end of an assembly line. Which statistical
distribution would be most appropriate for analyzing data from the process?

b. Poisson

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