Six Sigma Black Belt Exam Questions

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Question 1:The Friedman Test uses which of the following distributions to determine the critical value?

A

T-distribution

B

Chi-square distribution

C

Normal distribution

D

F-distribution

Question 2:The Mann-Whitney test statistic (W) is the sum of the ranks for the

A

First sample

B

Second sample

C

Both samples

D

It doesn’t matter

Question 3:The Method of Least Squares uses_________________________________ to create the line of best   fit which is our regression line.

A

the smallest distance of each data point to the line

B

the largest distance from each data point to the line

C

the sum of the squares of each point to the line

D

the difference of each point to the line

Question 4:If linear correlation tells how close a relationship our two variables have to a straight line, then  linear regression___________________________.

A

tells us if the correlation is positive or negative

B

is the line that best describes that linear relationship between two variables

C

would not apply

D

would be positive

Question 5:A ____________________ can be used when an analysis shows multiple correlated dependent  variables that a beldoes not want to test independently.

A

MANOVA

B

ANOVA

C

WOMANOVA

D

All of the above

Question 6:In the following summary data from a regression analysis, S represents _____________________

 and tells us about ______________________.

S = 24.2344 R-Sq = 20.8% R-Sq(adj) = 11.0%

A

the adjusted mean...how far off the mean is

B

the sum of squares...how far off the mean is

C

the adjusted sum of squares...our ability to predict a response

D

the sum of squares...our ability to predict a response

Question  7:If you had a two-level design and the generators were N = HILM and O = GIKL, what is the defining  relationship and resolution?

A

I = HILMN = GIKLO with a design resolution V

B

I = HILMN = GIKLO with a design resolution VI

C

I = HILMN = GIKLO = GHKM with a design resolution IV

D

I = HILMN = GIKLO = GHKMNO with a design resolution V

Question 8:The Mann-Whitney test uses which of the following to determine if the test statistic is significant

A

T-test

B

Chi-square test

C

Z-score

D

F-test

Question 9:Which of the following analysis tools can tell you if your data collection is missing critical "x's"?

A

Chi-squared

B

Multiple regression

C

Simple regression

D

Hypothesis testing

Question 10:There are two assumptions the Master Black Belt must make when using a two-way ANOVA: the data is normally distributed and______________________________.

A

has a p value of 0.000

B

the populations have equal means

C

the populations have equal variances

D

the samples have equal means

Question 11:One of the assumptions for the 1-Sample Proportion test is

A

Fixed number of trials

B

Independent

C

Two possible outcomes

D

Success probability is the same for each trial

E

All of the criteria (FITS) must be met to use the 1-sample test for proportions.

Question 12:The Mood’s Median Test is a nonparametric test that compares the equality of

A

A sample median to a known or hypothesized mean

B

Means from two populations

C

Medians from three or more populations

D

Variances

Question 13:The nonparametric test that uses a randomized block experiment and is similar to the Two-way  ANOVA is the

A

Mood’s Median Test

B

Friedman Test

C

Mann-Whitney test

D

Levene’s test

Question 14:The Mood’s Median Test uses which of the following distributions to determine the critical value?

A

T-distribution

B

Chi-square distribution

C

Normal distribution

D

F-distribution

Question 15:With 8 factors, how many 5-way interactions are there?

A

56

B

35

C

40

D

54


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