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Quantitative Methods Exam, Exams of Business Statistics

A set of 35 exam questions and answer sheet for quantitative methods ii course, held on february 13, 1997, with questions covering topics such as statistical analysis, process management, and quality control. The exam includes multiple-choice questions, diagrams, and calculations related to the deming wheel, pareto principle, operational definitions, sequence plots, and probability surveys.

Typology: Exams

2012/2013

Uploaded on 02/26/2013

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Exam 1 Feb. 13, 1997, Quant II Form A
The 35 exam questions and answer sheet are both to be turned in to your Discussion Section
instructor at the end of the exam. Code your name and ID number on the answer sheet. Code your
Section number under OPTIONAL CODES in positions L M N.
1. In a symmetric distribution the distance from the first quartile to the median is the same as the
distance from the median to the third quartile.
A) True
B) False
2. Dr. W. Edwards Deming, an Iowan, is considered the founder of scientific management.
A) True
B) False
3. The Pareto Principle states that usually only a small number of causes are responsible for most
of the variation in process results.
A) True
B) False
4. An observational study is one where we study the effects of changes under the control of the
investigator.
A) True
B) False
5. The diagram at the right is called:
A) A fishbone diagram
B) An Ishikawa diagram
C) A Cause-and-Effect diagram
D) All of the above
E) None of the above
6. The variable height is being studied for a group that range in age from 3 to 25 years. In this
group height would be considered a continuous variable.
A) True
B) False
7. The Deming Wheel (PDCA) shows how the various steps in a process progess from first to
last in a graphical way.
A) True
B) False
Personnel
Machin es
Materials
Methods
Measurements
Environment
Measured
Characteristic
pf3
pf4
pf5
pf8

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Exam 1 Feb. 13, 1997, Quant II Form A

The 35 exam questions and answer sheet are both to be turned in to your Discussion Section instructor at the end of the exam. Code your name and ID number on the answer sheet. Code your Section number under OPTIONAL CODES in positions L M N.

  1. In a symmetric distribution the distance from the first quartile to the median is the same as the distance from the median to the third quartile. A) True B) False
  2. Dr. W. Edwards Deming, an Iowan, is considered the founder of scientific management.

A) True B) False

  1. The Pareto Principle states that usually only a small number of causes are responsible for most of the variation in process results. A) True B) False
  2. An observational study is one where we study the effects of changes under the control of the investigator. A) True B) False
  3. The diagram at the right is called:

A) A fishbone diagram B) An Ishikawa diagram C) A Cause-and-Effect diagram D) All of the above E) None of the above

  1. The variable height is being studied for a group that range in age from 3 to 25 years. In this group height would be considered a continuous variable. A) True B) False
  2. The Deming Wheel (PDCA) shows how the various steps in a process progess from first to last in a graphical way. A) True B) False

Personnel

Machines

Materials

Methods

Measurements

Environment

Measured Characteristic

  1. The diagram at the right is called: A) A Cause-and Effect diagram B) A Flowchart C) A Deming wheel D) A Pareto chart E) A density histogram
  2. A longitudinal study studies a process variable over time.

A) True B) False

  1. Operational definitions answer who, what, when, where, why, and how.

A) True B) False

  1. Seasonality in a sequence means that observations that are close in time are also close in value. Observations that are far apart in time may be very different in value. A) True B) False
  2. A sequence plot is an important tool for displaying longitudinal data and

A) predicting future behavior B) detecting changes in a process C) sharing information (communication) D) All of the above. E) None of the above.

  1. A mound-shaped distribution of 1000 values has a mean of 50.4 and a standard deviation of 10.3. About how many of the 1000 data values are larger than 71? A) 50 B) 160 C) 320 D) 680 E) 950

contaminationoxidedefectmiscellaneouscorrosionmetallizationdopingsilicondefect 45.2^14 25.8^8 9.7^3 6.5^2 6.5^2 3.2^1 3.2^1 45.2 71.0 80.6 87.1 93.5 96.8 100.

0

10

20

30

0

20

40

60

80

100

Defect

PercentCount Cum %

Count Percent

Integrated Circuit Failure

  1. The sequence plot at the right shows average weekly wages in the construction trades by month for the years 1993 to 1995. The most prominent feature in this plot is best described as A) randomness B) meandering C) trend D) seasonality E) None of the above.
  2. A company has 100 employees with a mean age of 30. This company merges with another company with 200 emplyees and mean age 39. What is the mean age in the combined company? (before downsizing!) A) 30 B) 34. C) 36 D) 39 E) None of the above.
  3. The three graphs, A, B, and C, at the right and below display sequence plots for an original sequence, the differences of the sequence, and the percentage changes of the original sequence. Which one displays the sequence of percentage changes? A) A B) B C) C D) None of the above.

Jan93 Jan94 Jan

350

360

370

380

390

400

Date

Wages ($/week)

Weekly Construction Wages by Month

1 2 3 4 5 6 7

-0.

-0.

-0.

Time

Value

1 2 3 4 5 6 7

-0.

-0.

-0.

Time

Value

A

C

1 2 3 4 5 6 7

-0.

-0.

-0.

Time

Value

B

  1. The sequence plot at the right displays the annual average exchange rate for Canadian dollars per U.S. dollar. Which of the following best describes this plot? A) random B) trend C) meander D) seasonal E) None of the above.
  2. Dotplots of two distributions are shown below on the same scale. The standard deviation of the first distribution is 1.353. What is the standard deviation of the second distribution? (THINK! DO NOT CALCULATE!) A) 0. B) 1 C) 1. D) 2. E) None of the above.
  3. A Stem-and-Leaf display of 20 data points is shown at the right. What is the median of these data? A) 10 B) 20 C) 99 D) 100 E) None of the above.
  4. Currently, a U.S. dollar is worth about 7 Mexican pesos. If the price of corn in U.S. dollars increases 20%, what is the percentage increase in pesos? A) 7% B) 14% C) 20% D) 140% E) Cannot be determined from the information given.
  5. A skewed distribution has left and right sides that are (approximately) mirror images of one another. A) True B) False

1970 1980 1990

Year

Canadian Dollar

Exchange Rate: Canadian Dollars per U.S. Dollar

.. : : : : . : : : :. -----+---------+---------+---------+---------+---------+ Dist .. : : : : . : : : :. -----+---------+---------+---------+---------+---------+ Dist 2 4 6 8 10 12

Stem-and-leaf of Data N = 20 Leaf Unit = 1. 3 8 889 9 9 001124 10 9 9 10 10 112 7 10 5578 3 11 11 1 11 6

  1. The sequence plot at the right displays the hardness (Rockwell B scale) of successive coils of steel produced in a steel mill. This plot would be best described as A) random B) trending C) meandering D) seasonal E) None of the above.
  2. A density histogram of a distribution is shown at the right. The median of these data is 2.970. What can we say about the mean of the same data? A) Since that distribution is skewed toward larger values the mean is smaller than 2.970. B) Since that distribution is skewed toward larger values the mean is larger than 2.970. C) Since that distribution is skewed toward smaller values the mean is smaller than 2.970. D) Since that distribution is skewed toward smaller values the mean is smaller than 2.970. E) None of the above.

1 50 100

50

60

70

Coil Number

Hardness

Hardness of Steel Coils

Mean

0 1 2 4 7 15

Data

Density

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