Measure

Analyze

Control

Improve

Six Sigma Toolsv3.0

Six Sigma Tools Week 1 Quiz (KEY)

Name: Date:

1. If you want to determine the amount of variation in your measurement system, which tool should you use?

a. Process Capabilityb. Gage R&R c. Standard Deviationd. Normal Probability Plot

2. The Sigma Quality Level associated with Six Sigma is equivalent to what defect level (in parts per million)?

a. 6,210 ppmb. 223 ppmc. 3.4 ppm d. 1.2 ppm

3. A common assumption required for the use of many statistical tools is a:

a. Binomial Distributionb. Pareto Chartc. Control Chartd. Normal Distribution

4. If my team reduces the defects by 50%, have we doubled our Sigma Quality Level?

a. Yesb. No

5. What is the rolled throughput yield of the following four step process? Process yields: A=96% B=92% C=93% D=90%

a. .8928b. .4800c. .9000d. .7392

6. Which one of the four terms below is not commonly referred to as a “Basic Tool”?

a. Pareto diagramb. Force field analysisc. Passive analysis d. Affinity diagram

Revised 4-2-01

7. What are the four main phases of a Six Sigma project?a. Assessment, Analysis, Improvement, Controlb. Measurement, Analysis, Improvement, Reportc. Measurement, Analysis, Improvement, Control d. Measurement, Analysis, Plan, Improvement

8. What does “LSL” mean in Process Capability?a. Lower Sigma Limitb. Lower Scatter Limitc. Lower Statistical Limitd. Lower Specification Limit

9. We model process behavior with the normal distribution in order to:a. Predict future outcomesb. Confuse team membersc. Put the correct number in eTrackerd. Impress management

10. A manufacturer of plastic jars uses a destructive test to determine whether the specimen can withstand a slight vacuum. A month’s worth of samples yielded 7,995 good jars and 5 bad ones. This corresponds to a PPM defective of:

a. 620.0b. 625.0 c. 0.6250d. 0.006250

15105Subgroup 0

7

6

5Sam

ple

Mea

n

1

1 11

1

Mean=5.976

UCL=6.563

LCL=5.388

1.0

0.5

0.0

Sam

ple

Ran

ge

R=0.3125

UCL=1.021

LCL=0

Xbar/R Chart for bore2

Figure 1

2

Base your answers to the following two questions on the Figure 1.11. Is the X-Bar chart in control?

a. Yesb. No

12. What is the main source of variation?a. Within subgroupb. Between subgroups c. In my headd. On the chart

Variable N Mean Median TrMean StDev SE Meanset 1 200 6.5062 6.4142 6.5293 1.0236 0.0724set 2 200 7.0042 6.9851 7.0052 0.4006 0.0283

Variable Minimum Maximum Q1 Q3set 1 3.0610 9.2720 5.8982 7.1430set 2 5.8187 7.9867 6.7389 7.2984

Figure 2

Answer the next two questions based on the Minitab output in Figure 2.13. The 50th percentile of set 1 is:

a. 6.5062b. 6.4142 c. 5.8982d. 7.1430

14. Which data set has the larger range?a. set 1 b. set 2

Based your answers on the next two questions on the Minitab output in Figure 3.15. What is the mean of the data?

a. 60.00b. 60.0825c. 60.0277d. 60.0181

16. 50% of the data will fall between what two values?a. 57.1316 and 63.0663b. 59.3124 and 60.7412 c. 59.9536 and 60.0825d. 1.0 and infinity

3

57.6 58.6 59.6 60.6 61.6 62.6

95% Confidence Interval for Mu

59.95 60.00 60.05 60.10

95% Confidence Interval for Median

A-Squared:P-Value:

MeanStDevVarianceSkewnessKurtosisN

Minimum1st QuartileMedian3rd QuartileMaximum

59.9536

0.9946

59.9757

0.2610.708

60.0181 1.03821.07781

2.14E-02-1.8E-01

1000

57.131659.312460.027760.741263.0663

60.0825

1.0858

60.1214

Anderson-Darling Normality Test

95% Confidence Interval for Mu

95% Confidence Interval for Sigma

95% Confidence Interval for Median

Descriptive Statistics

Figure 3

P-Value: 0.000A-Squared: 6.623

Anderson-Darling Normality Test

N: 100StDev: 6.60191Average: 5.51438

50403020100

.999.99.95.80.50.20.05.01

.001

Pro

babi

lity

Am I normal

Normal Probability Plot

Figure 4Base your answer to the following question on the Minitab output in Figure 4.17. Does the above data approximate a normal distribution?

a. Yesb. No

4

18. The Sigma Quality Level associated with Six Sigma is equivalent to what process capability level (Cp)?

a. 1.33b. 1.67c. 2.00 d. 2.33

1 2 3 4 5 6 7 8

65

75

85

95

105

115

operator

mea

sure

Figure 5

Use the Box Plots in Figure 5 to answer the following two questions.19. Does there appear to be a difference between operators?

a. Yes b. Noc. Can’t telld. Need more data

20. Which operator has the greatest variation?a. 3b. 5c. 7 d. 8

5