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Six Sigma ICBB Practice Test - Questions Answers, Page 9

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A valid mathematical Regression represents all of the characteristics shown except

___________________________.

A.
The residuals when plotted follow a Normal Distribution
A.
The residuals when plotted follow a Normal Distribution
Answers
B.
The sum of the residuals is zero
B.
The sum of the residuals is zero
Answers
C.
All of the standardized residuals will be within 3 Standard Deviations
C.
All of the standardized residuals will be within 3 Standard Deviations
Answers
D.
Most standardized residuals are within 2 Standard Deviations
D.
Most standardized residuals are within 2 Standard Deviations
Answers
Suggested answer: A

When a Belt conducts a Linear Correlation Analysis and finds that as an X increases the Y also increase then he has proven a ______________ correlation.

A.
Negative
A.
Negative
Answers
B.
Positive
B.
Positive
Answers
C.
Monomial
C.
Monomial
Answers
D.
Single alignment
D.
Single alignment
Answers
Suggested answer: B

A valid Multiple Linear Regression (MLR) is characterized by all of these except _______________________.

A.
It is an assumption that the X's (inputs) are not correlated to each other
A.
It is an assumption that the X's (inputs) are not correlated to each other
Answers
B.
The X's (inputs) are assumed to be independent of each other
B.
The X's (inputs) are assumed to be independent of each other
Answers
C.
MLR is conducted based on a deliberate form of experimentation
C.
MLR is conducted based on a deliberate form of experimentation
Answers
D.
The Residuals from MLR analysis have to be Normally Distributed
D.
The Residuals from MLR analysis have to be Normally Distributed
Answers
Suggested answer: C

Which statement is NOT correct about the Fitted Line Plot shown here?

A.
The independent variable is the reactant
A.
The independent variable is the reactant
Answers
B.
If the reactant was 6 units, with 95 % confidence we would expect a minimum yield of 100 units
B.
If the reactant was 6 units, with 95 % confidence we would expect a minimum yield of 100 units
Answers
C.
With at least 95% confidence, we can expect less than 10 units of Yield when the reactant is at a value of 1
C.
With at least 95% confidence, we can expect less than 10 units of Yield when the reactant is at a value of 1
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D.
A reactant value between 2 and 4 units yields around 20 to 40
D.
A reactant value between 2 and 4 units yields around 20 to 40
Answers
E.
When the reactant increases, the expected yield would increase
E.
When the reactant increases, the expected yield would increase
Answers
Suggested answer: D

When doing Hypothesis Testing on Non-normal data Belts will use a ________________ to compare more than two sample proportions to each other.

A.
Z score Table
A.
Z score Table
Answers
B.
Sakami Table
B.
Sakami Table
Answers
C.
Mean-to-Mode Analysis
C.
Mean-to-Mode Analysis
Answers
D.
Contingency Table
D.
Contingency Table
Answers
Suggested answer: C

It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.

A.
r2 value is smaller than the absolute value of r
A.
r2 value is smaller than the absolute value of r
Answers
B.
Correlation Coefficient equals r2
B.
Correlation Coefficient equals r2
Answers
C.
Coefficient of Determination is less than r2
C.
Coefficient of Determination is less than r2
Answers
D.
Correlation Coefficient equals r divided by 2
D.
Correlation Coefficient equals r divided by 2
Answers
Suggested answer: A

When a Belt properly analyzes the results of an experiment he must examine the Residuals in expectation of finding all of the following except _________.

A.
Some Residuals higher than others
A.
Some Residuals higher than others
Answers
B.
Some Residuals lower than others
B.
Some Residuals lower than others
Answers
C.
All Residuals within 2 Standard Deviations of the Mean
C.
All Residuals within 2 Standard Deviations of the Mean
Answers
D.
Residuals will represent a Linear Regression
D.
Residuals will represent a Linear Regression
Answers
Suggested answer: D

Which statement(s) are correct about the Regression shown here? (Note: There are 2 correct answers).

A.
The dependent variable is the outside temperature
A.
The dependent variable is the outside temperature
Answers
B.
The relationship between outside temperature and number of customers per hour is a Linear Regression
B.
The relationship between outside temperature and number of customers per hour is a Linear Regression
Answers
C.
The dashed lines indicate with 95% confidence where all of the process data should fall between
C.
The dashed lines indicate with 95% confidence where all of the process data should fall between
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D.
The dashed lines indicate with 95% confidence the estimate for the Quadratic Regression Line
D.
The dashed lines indicate with 95% confidence the estimate for the Quadratic Regression Line
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E.
The predicted number of customers per hour is close to 5 if the outside temperature is 10 deg C
E.
The predicted number of customers per hour is close to 5 if the outside temperature is 10 deg C
Answers
Suggested answer: D, E

Which of these might contribute to similar distributions having Unequal Variance?

A.
Extreme tails
A.
Extreme tails
Answers
B.
Outliers
B.
Outliers
Answers
C.
Multiple Modes
C.
Multiple Modes
Answers
D.
All of the above
D.
All of the above
Answers
Suggested answer: D

A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belt's effort requiring that the average cost of an internal critical raw material component be less than or equal to $4,200 in order to stay within budget. Using a sample of 35 first article components, a Mean of the new product upgrade price of $4,060, and a Standard Deviation of $98 was estimated. Select the answer that best states the Practical Problem.

A.
If the average cost per component is $4,200 or less, then the purchase manager will introduce the new product upgrade with new components.
A.
If the average cost per component is $4,200 or less, then the purchase manager will introduce the new product upgrade with new components.
Answers
B.
If the average cost per component is greater than $4,200, then the purchase manager will introduce the new product upgrade with new components.
B.
If the average cost per component is greater than $4,200, then the purchase manager will introduce the new product upgrade with new components.
Answers
C.
Only if the average cost per product upgrade is $4,060, will the purchase manager introduce new product upgrades with new components.
C.
Only if the average cost per product upgrade is $4,060, will the purchase manager introduce new product upgrades with new components.
Answers
D.
If the average cost per new product upgrade is less than $180, then the purchase manager will introduce the new product upgrade with new components.
D.
If the average cost per new product upgrade is less than $180, then the purchase manager will introduce the new product upgrade with new components.
Answers
Suggested answer: C
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