Green Belt Final Exam

Given the process steps below and their data, what is the Yield of Process Step 1?

Given the process steps below and their data, what is the Yield of Process Step 2?

Given the process steps below and their data, what is the Yield of Process Step 3?

Given the process steps below and their data, what is the Rolled Throughput Yield of the entire process?

The following is an example of which?

The following is an example of what type of process map?

The company Legendary Lights LLC. produces Christmas lights in strands with various bulb counts and colors. Their quality engineer has collected data on production defects and you need to generate a Pareto chart on “Defect Type” to determine where most of the light strand defects are occurring. Use the Minitab project file “GB_Exam.MPJ” and the “STRAND DEFECTS.MTW” worksheet to perform your Pareto chart. Based on your results, which defect type has the highest occurrence?

Use the Minitab project file “GB_Exam.MPJ” and the “STRAND DEFECTS.MTW” worksheet to perform a Pareto chart. Based on your results, what is the cumulative percentage of the first two bars?

Use the Minitab project file “GB_Exam.MPJ” and the “STRAND DEFECTS.MTW” worksheet to generate a Pareto chart on “Defect Type” by the variable “Shift”. Based on your results, is there a difference between the highest defect types by shift?

Use the Minitab project file “GB_Exam.MPJ” and the “STRAND DEFECTS.MTW” worksheet to generate a Pareto chart on “Defect Type” by the variable “Shift”. Based on your results, what is the highest occurring defect for the 2nd shift?

What is the difference between defects and defectives?

Which of the following would be considered a “Direct” data collection method used to gather VOC?

Y=f(x) refers to which of the following descriptions?

The following is used to provide vital information about a project in a quick and easy-to-comprehend manner. It is a contract of sorts between project champions, sponsors, stakeholders, and the project team.

Which word has the following meaning? “futility, uselessness, idleness, superfluity, waste, wastage, wastefulness.”

Which of the following is the methodology prescribed to achieve Six Sigma. It is the systematic and rigorous method that can be applied to any process, in any industry.

While working for a global media company you have been asked to look at the company’s web traffic of its numerous sites and site categories. Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a graphical summary of the Unique_Visits in column C4. Is this data normally distributed?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a graphical summary of the Unique_Visits in column C4. Do the 95% confidence intervals of the Mean and Median overlap?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a Scatterplot between Unique_Visits and Pageviews in columns C4 and C5. Based on the output, how would you characterize the relationship?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a One Y Boxplot with Groups for Unique_Visits by Traffic_Source. Which Traffic_Source has the least variation?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a One Y Boxplot with Groups for Unique_Visits by Traffic_Source. Which Traffic_Source has the highest median?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a Histogram on Pageviews in column C5. How would you characterize the distribution of the output?

Using the “GB_Exam.MPJ” Minitab project file and the “Web Traffic.mtw” worksheet. Perform a Run Chart on Views in column C9. Are there any obvious trends, cycles or seasonality?

The following is an example of which?

You are an engineer tasked with performing a measurement systems analysis using a Variable Gage R&R. You have selected ten parts that represent the full range of parts produced by a production process. You have also selected 3 operators and asked them to measure the ten parts three times each in random sequence. Use the “Variable Gage R&R” worksheet found in the “GB_Exam.MPJ” project file and perform a crossed Variable Gage R&R on the data in the worksheet. What is the Total Gage R&R % Contribution?

Use the “Variable Gage R&R” worksheet found in the “GB_Exam.MPJ” project file and perform a crossed Variable Gage R&R on the data in the worksheet. What is the Total Gage R&R % Study Variation?

Use the “Variable Gage R&R” worksheet found in the “GB_Exam.MPJ” project file and perform a crossed Variable Gage R&R on the data in the worksheet. What is the value for number of distinct categories?

Use the “Variable Gage R&R” worksheet found in the “GB_Exam.MPJ” project file and perform a crossed Variable Gage R&R on the data in the worksheet. Should you consider this a passing Gage R&R?

Is this process capable?

Is this process capable?

You have been tasked to determine the sample size for a One-Sample t-test with a power value of at least 90%. The tolerance that is applicable is +/-0.25 inches. The historical data you have indicates a mean of 99.4 inches, a variance of 0.29 inches, and a standard deviation of 0.52 inches. Using this information determine the sample size necessary for a One-Sample t-test.

Which is not a characteristic of a successful project team?

A company with steel mills fabricates 100 ft. long I-beams for commercial building construction. Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, determine the 90% confidence interval of the mean of Beam_Length in column c1.

A company with steel mills fabricates I-beams for commercial building construction. The target length of each I-Beam is 100 feet. Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, use a proper test to determine if the sample of 200 I-Beams in column c1 are meeting the target of 100 ft.

A company with steel mills fabricates I-beams for commercial building construction. The target length of each I-Beam is 100 feet. Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, perform a One-Sample t-test to determine if the sample of 200 i-Beams in column C1 are meeting the target of 100 ft. What is the P-value?

A company with steel mills fabricates I-beams for commercial building construction. The target length of each I-Beam is 100 feet. Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, determine if the 200 samples found in column C1 are normally distributed?

A company with steel mills fabricates I-beams for commercial building construction. The target length of each I-Beam is 100 feet. Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, determine which hypothesis test is the proper one to be used to compare Beam_Length to the target 100 ft.?

Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, determine if both data sets within the 200 samples of Beam_Length “by” Steel_Mill are normally distributed?

Using the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, determine if data sets of the 200 samples of Beam_Length “by” Steel_Mill have equal variances?

Based on your assessment of the data located in column C1 of the “I-Beam_Length.mtw” worksheet located in the “GB_Exam.MPJ” Minitab project file, which of the following hypothesis tests would be best to compare the two Steel_Mills to determine if they are different from one another?

Using the “I-Beam_Length.mtw” worksheet located in the file “GB_Exam.MPJ”, perform a Two-Sample t-test on Steel_Mill_1_Shift_2 vs Steel_Mill_2_Shift_2 and select the best description of the test result.

Based on the data found in the “I-Beam_Length.mtw” worksheet located in the file “GB_Exam.MPJ”, we have assessed that Steel_Mill_2_Shift_1 and Steel_Mill_2_Shift_2 are both normally distributed and have equal variances. Which of the following hypothesis tests would be best to compare the two Steel_Mills for a statistically significant difference?

Based on the image below which best represents your conclusion?

Based on the image below, which best represents your conclusion?

A Two-Sample t-test has several assumptions, which of the following is one of those key assumptions?

A steel mill company has suppliers that provide finished cross beams for the mill to package and distribute with their 100 ft. I-Beams. The suppliers have a 36 ft. length specification to meet. Using the data in the worksheet “I-Beam_Length.mtw” located in the Minitab project file “GB_Exam.MPJ”. Assess the data in the two columns labeled Supplier_1 and Supplier_2 and based on your assessment of assumptions, perform the proper test necessary to compare each supplier to the target of 36 ft. Identify the correct test and which supplier is meeting the specification.

How would you characterize the following relationship between MPG and weight?

True or False, a correlation coefficient of 0.00 indicates that there is no linear relationship?

In the “Cement Heat Loss.MTW” worksheet located in the Minitab file “GB_Exam.MPJ” determine the correlation coefficient between LHC_Heat_Loss and Water.

This is a condition where the assumption of equal variance is violated and can lead us to believe a variable is a predictor when it is not.

A situation when two or more independent variables in a multiple regression model are correlated with each other?

Perform a simple linear regression using LHC_Heat_Loss as your response and Water are your predictor using the worksheet “Cement Heat Loss.MTW” in the project file “GB_Exam.MPJ”. What is the R-Sq(adj)?

Perform a simple linear regression using LHC_Heat_Loss as your response and Water are your predictor using the worksheet “Cement Heat Loss.MTW” in the project file “GB_Exam.MPJ”. What is the model’s P-value?

Perform a simple linear regression using LHC_Heat_Loss as your response and Water are your predictor using the worksheet “Cement Heat Loss.MTW” in the project file “GB_Exam.MPJ”. Are the residuals normally distributed with a mean equal to zero?

Perform a simple linear regression using LHC_Heat_Loss as your response and Water are your predictor using the worksheet “Cement Heat Loss.MTW” in the project file “GB_Exam.MPJ”. Which is true about the residuals?

A materials scientist studies the heat that is evolved from cement mixtures. The scientist varies the five ingredients in the mixtures to assess the impact on overall heat loss. Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. What is the R-Sq(adj)?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. What is the P-value of the overall model?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide, and Water. Does multicollinearity exist to an extent that we need to take action?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable and re-run the model. What is the new R-Sqr(adj)?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable and re-run the model. What is the new P-value for the overall model?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable and re-run the model. Are the residuals normally distributed with a mean equal to zero?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable and re-run the model. Are the residuals independent?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable and re-run the model. Which factor has the greatest influence on heat loss?

Using the “Cement Heat Loss.MTW” worksheet in the project file “GB_Exam.MPJ”, perform a multiple linear regression with OPC_Heat_Loss as the response and predictors as Aluminum_Oxide, Sulfate, Calcium_Oxide, Iron_Oxide and Water. After running this model, remove the appropriate variable(s) and re-run the model. Select the regression equation that represents this model?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an I-MR chart on the data in column C16. What tests for special cause if any, failed on the Individuals chart?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an I-MR chart on the data in column C16. What is the length of the moving range for this chart?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an Xbar-R chart on the data in columns C1 and C2. Is this process in control?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an Xbar-R chart on the data in columns C1 and C2. What does each data point on the X chart represent?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an Xbar-S chart on the data in columns C4 and C5. What does each data point on the S chart represent?

Using the worksheet “SPC.mtw” in the “GB_Exam.MPJ” project file, perform an Xbar-S chart on the data in columns C4 and C5. What is the value of the horizontal green line on the S chart and what does it represent?

The _____ chart is used to monitor average defects per unit. It plots the count of defects per unit of a subgroup as a data point. It considers the situation when the subgroup size of inspected units for which the defects would be counted is not constant.

The ___ chart is used to monitor the count of defectives. It plots the number of defectives in one subgroup as a data point. The subgroup size of this chart is constant.

The ___ chart is used to monitor percent defective. This chart plots the percentage of defectives in one subgroup as a data point. It considers the situation when the subgroup size of inspected units is not constant.

Continuous variables are measured, Discrete variables are counted?

For the normal distribution, about _____% of the data fall within +/- 2 standard deviation from the mean?

This is the risk of failing to reject the null when in fact you should have?

_______ are the vertical differences between actual values and the predicted values or the “fitted line” created by a regression model?

Which of the following is a way in which you might deal with multicollinearity?

An FMEA ranks potential failures using values assigned to severity, occurrence, and detection?

_____  evaluates whether the same appraiser can obtain the same value multiple times when measuring the same object using the same equipment under the same environment.