Black Belt Final Exam

What is the difference between defects and defectives?

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

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 +/-0.45 inches. The historical data you have indicates a mean of 98.4 inches, a variance of 0.22 inches, and a standard deviation of 0.62 inches. Using this information, determine the sample size necessary for a One-Sample t-test.

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?

Using the General worksheet in your BB_Exam project file, perform an I-MR chart on the data in column C10 “Output”. Is this process in control?

Which is the correct Defects per Million Opportunities (DPMO) calculation?

If Kappa is equal to 0.8, the measurement system is acceptable?

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

What does a variance inflation factor (VIF) of greater than 10 indicate?

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.

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?

Given the Pareto Chart output below, 78.8% of the defects come from which defect types?

Given the Pareto Chart output below, how many defects are due to “Bulb Out”?

Using the Minitab project file BB_Exam.mpx, activate the Web Traffic worksheet, and run a Pareto chart on Unique_Visits by Traffic_Source. What percent of Unique_Visits are from the Direct traffic source?

Continuing with the Web Traffic worksheet, run a Pareto chart on Pageviews by Traffic_Source. What percent of Pageviews are from Direct and Referral traffic sources?

Drag each test next to its proper description. Each match is equivalent to 1 point for a total of 10 possible points for this question.

Drag each process mapping symbol to its correct associated meaning. Each symbol is worth 1 point for a total of 4 points for this question.

Drag each Project Charter element to its correct associated description. This question is worth a total of four points.

Using the data found on the General tab of your BB_Exam.mpx project file, perform a graphical summary on data set A found in column C1. Is this data normally distributed?

Using the data found on the General tab of your BB_Exam.mpx project file, perform a graphical summary on data set B found in column C2. Is this data normally distributed?

Which hypothesis test would be best if you wanted to determine if there is a statistically significant difference between the two data sets A and B on the General tab of the BB_Exam.mpx file?

Run the hypothesis test that would be best if you wanted to determine if there is a statistically significant difference between the data sets A and B on the General tab of the BB_Exam.mpx file. What is the resulting P-value of the test you ran?

Which of the following statistical tests does Minitab require the data to be in two separate columns?

Which of the following statistical tests does Minitab require the data to be in two separate columns?

Using the Variable Gage worksheet in your BB_Exam.mpx file, perform a crossed variable gage r & r with Part as your Part numbers, Operator as your Operators, and Measurement as your Measurement data; use the default ANOVA method. What is the % Contribution of the Total Gage R&R?

Using the Variable Gage worksheet in your BB_Exam.mpx file, perform a crossed variable gage r & r with Part as your Part numbers, Operator as your Operators, and Measurement as your Measurement data; use the default ANOVA method. How many distinct categories?

Given the output of your Gage R&R study, would you consider this measurement system acceptable?

Using the Attribute Gage worksheet in your BB_Exam.mpx file, perform an Attribute Gage R&R using column c4 “Reference” as the Known standard. What is the value of the Kappa statistic for All Appraisers vs. Standard?

Using the Attribute Gage worksheet in your BB_Exam.mpx file, perform an Attribute Gage R&R using column c4 “Reference” as the Known standard. Who has the lowest Within Appraiser Assessment Agreement Kappa Statistic?

Based on your assessment of this Attribute Gage R&R, would you consider this measurement system acceptable?

Using the Capability worksheet in your BB_Exam.mpx file, perform a Normal Capability analysis on column C1 “Width”. The upper specification should be 24.5, and the lower spec should be 23.5, with a target value of 24. What is the Cpk value for this analysis?

Based on the results of your previous capability analysis, in your estimation, is this process capable?

Using the Multi-Vari worksheet in your BB_Exam.mpx file, run a multi-vari chart by Measurement with Unit as Factor 1 and Operator as Factor 2. Which operator has the lowest mean measurement?

Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Use this data for this question and the next few. First, run a graphical summary by the variable Fertilizer. Are the data for all three fertilization techniques normally distributed?

Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. First, run a graphical summary by the variable Fertilizer. Which hypothesis test would you choose to determine if there was a statistically significant difference in growth rates by fertilization technique?

Continuing with the fertilization data, determine if the growth performance for F2 (column c6) is equal to 50?

Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Perform the correct hypothesis test to determine if the growth performance for F1 (column c5) is equal to 50. Based on the output of the test you selected, what is the resulting p-value?

Using the worksheet labeled “Analyze” in your BB_Exam.mpx file, you will see that column C1 represents plant growth in centimeters and column C2 represents three types of fertilization techniques (F0, F1, F2). The remaining columns are the “unstacked” growth rates for each of those fertilization techniques. Perform the proper hypothesis test to determine if there is a statistically significant difference between the growth rates of F0 and F1. What is the resulting p-value of the test you ran?

Perform a two-step Box-Cox Transformation using the data found in column C on the General worksheet of your BB_Exam.mpx file. In the first step of your transformation determine the rounded value for lambda (λ). What is the resulting rounded value for lambda (λ) ?

Perform a two-step Box-Cox Transformation using the data found in column C on the General worksheet of your BB_Exam.mpx file. Use your rounded value for lambda, storing results in column C4. Perform a graphical summary on your new data in column C4.

Using the Stepwise worksheet in your BB_Exam.mpx file, perform a stepwise regression using column c1 as your response and x1, x2, x3, and x4 as continuous predictors. The regression method should be Stepwise and the alpha to enter and alpha to remove should be 0.15. Which predictor variables did Minitab return as significant for the model?

Using the Stepwise worksheet in your BB_Exam.mpx file, perform a stepwise regression using column c1 as your response and x1, x2, x3, and x4 as continuous predictors. The regression method should be Stepwise and the alpha to enter and alpha to remove should be 0.15. What is the model’s R-sq(adj)?

Using the data on your General worksheet, perform a correlation analysis on columns C6 and C7, which are labeled D and E, respectively. How would you characterize the relationship between these two sets of data?

How many runs will be in a 2-level 5-factor Full Factorial DOE with 2 replicates, 1 Block, and 0 Center points?

How many runs will be in a 2-level 5-factor half fraction DOE with 1 replicate, 1 Block, and 0 Center points?

Match the proper Error Type with it’s relevant description

Match the decision with the proper metric result

Keeping replicates, blocks, and center points the same, do Full Factorial DOE’s require fewer resources and runs than a Fractional Factorial?

Which of the following assumptions is NOT necessary to ensure the reliability of a multiple linear regression model?

The Z distribution is the simplest normal distribution with a mean equal to ______ and a standard deviation equal to ________ ?