Calls arrive at a help center at an average rate of 12 per hour following an exp

Question

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

The width of a metal part is normally distributed with a mean of . Approximately how many standard deviation
units, symmetrical about will include 95% of the lengths?
a. ± 1.645
b. ± 1.505
c. ± 1.000
d. ± 1.960

Which of the following statements is NOT true about probability plots?
Probability plots can be used to assess likelihood that a sample comes from an exponential distribution.
A probability plot shows the percent characteristics of the sample data set versus the percent characteristics of
a population that can be determined from a cumulative distribution function.
The plots can be used to estimate the percent less than (or greater than) characteristics in a population.
If the points on a plot fall in approximately a straight line on normal probability plot paper, it is plausible that
the observations are from a normally distributed population.
None of the above. (All of the above are true statements.)

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

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

A binomial experiment is to be performed. The number of possible outcomes in each trial of the experiment is
a. one.
b. two.
c. dependent on the experimental objectives.
d. n + 1.

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

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 metal part can be reworked if it is oversized, but must be scrapped if it is undersize. If the mean length of a part is
1.6 " with a 0.05" standard deviation and the part must be reworked if it is over 1.72, what percent of the parts
produced would be expected to be reworked?
a. 8.2%
b. 0.82%
c. less than 0.02%
d. 99.18%

A lot of 20 parts contains 4 defectives. If a sample of 3 is drawn, what is the probability that the sample will contain
exactly 1 defectives?
a. 0.384
b. 0.450
c. 0.333
d. 0.421

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.

Given 12 orders for production, how many different sets of 4 to could they be arranged in for processing? (order does
not matter)
a. 11,880
b. 495
c. 4,800
d. 144

A process has been producing 15% defective parts. A sample of 5 is taken. The probability of sample containing at
least one defective is
a. (0.15)5
b. (0.85)5
c. 1-(0.15)5
d. 1-(0.85)5

A call center gathers information on the number of data entry errors and determines the percent of defective
transactions. The type of numeric data that the company is using is
a. Categorical.
b. Continuous.
c. Discrete.
d. Both continuous and discrete.

A parameter is
a. a random variable.
b. a number describing a population in a useful way such as its location or variation.
c. a value derived from a sample.
d. the solution to a sampling problem

A Pareto chart is
a. A frequency distribution chart arranged by category from most frequent to least.
b. A method to visually highlight the most important problems.
c. Based on the Pareto principle of the vital few versus trivial many.
d. All of the above.

Investigation in to causes of problems may be depicted in a
a. Fishbone diagram.
b. Why-Why diagram.
c. Tree Diagram.
d. All of the above.

Scatter diagrams depict
a. The frequency of occurences in categories.
b. Possible relationships between two variables.
c. Factors thought to cause problems or contribute to a failure.
d. The relationship of people, materials, documents or information in a process

An affinity diagram is a method of
a. Organizing many ideas into common groupings.
b. Showing the optimum schedule for fulfilling and tracking a plan.
c. Identifying actions required to solve a problem.
d. Showing relationships between two, three or four information groups.

A flowchart is a graphic representation of
a. Factors thought to cause problems or contribute to a failure.
b. Variation in a sample set of data.
c. The steps in a process.
d. Relationships between multiple variables

Histograms are useful for showing
a. The primary steps in a process
b. Factors thought to affect problems
c. Patterns of variation in process behavior or data
d. Causal relationships between variables.

Which of the following is not a measure of dispersion of a sample set of observations?
a. Median
b. Range
c. Standard deviation
d. Variance

sample where each item in the population would have equal opportunity to be selected is known as a
a. Simple random sample.
b. Stratified random sample.
c. Sample of convenience.
d. Verification sample.

A process that is operating with only common causes of variation
a. Is considered to be an unstable process.
b. May exhibit an upward trend or cycle.
c. Can be improved only by a change in the normal operation of the process.
d. Will show the influence of unexpected external influences.

In considering the cost of quality, which of the following would be considered an internal failure cost?
a. Cost to inspect the part during production
b. Cost to rework a part when found during production inspection
c. Cost to repair a part that has been returned by a customer
d. Cost to monitor a process using statistical quality control

A project charter
a. Provides a clear understanding of what the project is. It includes a project statement, scope and purpose.
b. Enables agreement on the level of savings attained at the conclusion of a project.
c. Is a primary component of the final presentation.
d. None of the above

If an enterprise cascades measurements from higher levels to lower levels of the organization, which of the following
is not true?
a. Attainment of measurement objectives at a divisional site will support attainment of corporate objectives
b. Each department in an organization will determine measures considering the divisional objectives.
c. Improvement projects are prioritized considering contributions to attaining organizational objectives
d. None of the above. (All of the above are true.)

High level business metrics, as opposed to operational or process metrics, would be most likely to include
a. Scrap and rework rates.
b. Profit and Market Share.
c. On-time delivery rates.
d. Shop efficiency.

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

Explanation / Answer

Solution:-

2) The width of a metal part is normally distributed with a mean of . Approximately how many standard deviation units, symmetrical about will include 95% of the lengths?
d. ± 1.960

3) Which of the following statements is NOT true about probability plots?
The plots can be used to estimate the percent less than (or greater than) characteristics in a population.

4) A binomial experiment is to be performed. The number of possible outcomes in each trial of the experiment is
b. two.

5) 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
c. equal to the proportion of diameters larger than 1.40".

6) A metal part can be reworked if it is oversized, but must be scrapped if it is undersize. If the mean length of a part is
1.6 " with a 0.05" standard deviation and the part must be reworked if it is over 1.72, what percent of the parts produced would be expected to be reworked?
b. 0.82%

7) A lot of 20 parts contains 4 defectives. If a sample of 3 is drawn, what is the probability that the sample will contain exactly 1 defectives?
a. 0.384

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