# 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 _____________________

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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