Lean Six Sigma Green Belt Sample Paper: Analyze

1. The Regression equation is Sales= 4430+4.63 Adspend. If Adspend $ 4400, what is expected sales?

24802

20915

20410

21615

2. Type I error is

Null is not true, however we accept Null

Null is true, however we accept Alternate

Both ‘a’ and ‘b’ are correct

None of the above

3. What is the Alternative Hypothesis in One‐Way ANOVA?

All Variances are equal

Not all Variances are equal

All Means are equal

Not all Means are equal

4. For the data provided in Table 2, please find Correlation coefficient of the two continuous variables and draw inferences

r=‐0.98 and strong negative correlation

r=0.98 and strong positive correlation

r=‐0.9 and weak correlation

r=1 and perfect correlation

5. Please comment on correlation between X and Y based on figure 1

Strong negative correlation

Weak negative correlation

Strong positive correlation

Weak positive correlation

6. If Confidence level=90%, which of the following statement is correct?

alpha=5%

beta=5%

beta=10%

alpha=10%

7. If continuous X and continuous Y are perfectly correlated, which of the following statements is most appropriate?

X causes Y

X is one of the causes of Y

X has a perfect linear association with Y

All of the above

8. Six Sigma Green Belt wants to ascertain whether average transaction time post improvement has reduced. What is the most appropriate test that the GB should carry out? Consider the data to be independent and normally distributed?

F‐test

Chi‐Square Test of Association

Sign test

2‐ sample t test

9. What is the main deliverable of Analyze Phase?

Selected Solution

List of Potential Solutions

Validated Root Causes

Control Charts

10. What tool can help us determine the vital few out of trivial many?

Pareto Plots

Ishikawa Diagram

Design of Experiments

Pugh Matrix

11. If we want to compare two variances, what test should we carry out?

2‐sample t test

F‐ test

Moods Median test

ANOVA

12. Based on the output in table 7, what is the most appropriate inference?

At 5% significance level, Variance of A is equal to Variance of B

At 5% significance level, Average of A is equal to Average of B

At 5% significance level, Variance of A is not equal to Variance of B

At 5% significance level, proportion of A is not equal to proportion of B

13. The manager wants to compare average handling time of two teams. Which test should he use?

2 variance test

ANOVA

2 sample t test

2 proportion test

14. Refer to output in table 8, and choose the most appropriate response

At 5% significance level, Region averages are equal

At 5% significance level, regions affect % defectives

At 5% significance level, regions don’t affect % defectives

At 5% significance level, regions variances are equal

15. Which hypothesis test is used to compare averages of more than two populations?

Analysis of Variance

2 t‐test

Chi‐square test of association

F‐test

16. Which of the following is NOT one of the ‘M’s in 6 Ms?

Measurement

Money

Machine

Methods

17. A numerical measure of how serious is the effect of the failure.

Occurrence Rank

Detection Rank

Severity Rank

Inspection Rank

18. Risk Priority number is the product of

Severity, Detection and Correction

Severity, Occurrence and Detection

Detection, Rework and Yield

Occurrence, RTY and FTY

19. Which of the following is correct about Regression analysis?

Rsq is percentage of response variable variation explained by its relationship with one or more predictor variables

In general, the higher the R‐Sq, the better the model fits your data

The equation predicts new observations given specified predictor values

All of the above

20. The chest measurement of 20 shirts is inspected per day. What is the most appropriate control chart to detect the presence of special cause?

p chart

I‐MR

Xbar‐R

Xbar‐S

20. If beta =15%, and alpha = 10%.

Confidence Level=90% and Power =90%

Confidence level= 85% and Power=90%

Confidence level=90% and Power=85%

Confidence level=85% and Power=85%

21. Process maps can be analyzed for:

Time‐per‐event (reducing cycle time)

Process repeats (preventing rework)

Unnecessary tasks (eliminating tasks that are in the process for no apparent reason)

All the above