Question 1

After reviewing the Capability Analysis shown here select the statement(s) that are untrue.

Accepted Answer

A

Question 2

To draw inferences about a sample population being studied by modeling patterns of data in a way that accounts for randomness and uncertainty in the observations is known as ____________________.

Accepted Answer

The phrase "draw inferences about a sample population being studied" suggests that we are using statistical methods to make statements (inferences) about a larger group of individuals (the population) based on a smaller group we have studied (the sample). This is the definition of inferential statistics. The other options (influential analysis, physical modeling, sequential inference) do not accurately describe this process.

Question 3

The actual experimental response data varied somewhat from what a Belt had predicted them to be. This is the result of which of these?

Accepted Answer

The variation between the predicted and actual experimental response data is referred to as residuals. Residual analysis is an essential part of statistical modeling and helps to identify any unusual patterns or deviations in the data.

Question 4

__________ Distributions occur when data comes from several sources that are supposed to be the same yet are not.

Accepted Answer

The answer of __________ Distributions occur when data comes from...

Question 5

Select all the statements that are true after reviewing the Capability Analysis shown here. (Note: There are 4 correct answers).

Accepted Answer

The answer of Select all the statements that are true...

Question 6

Hypothesis Testing can save time and help avoid high costs of experimental efforts by using existing data.

Accepted Answer

Hypothesis testing can use existing data to test a hypothesis, eliminating the need for conducting new experiments which can be time-consuming and expensive.

Question 7

The generation of a Regression Equation is justified when we _____________.  (Note: There are 4 correct answers).

Accepted Answer

A regression equation is justified when we expect a linear relationship (A), need to control a process output (C), have no other way to fix defects (D), or when measuring the output is costly or untimely (E).

Question 8

The Central Limit Theorem helps us understand the ___________ we are taking and is the basis for using sampling to estimate population parameters.

Accepted Answer

The answer of The Central Limit Theorem helps us understand...

Question 9

A 1-Sample t-test is used when you want to compare the Median of one distribution to a target value.

Accepted Answer

A 1-Sample t-test is used when you want to compare the Mean of one distribution to a target value, not the Median.

Question 10

It is a Type II error if we decide to reject the Null Hypothesis when it is actually true.

Accepted Answer

Rejecting the Null Hypothesis when it is actually true is a Type I error, not a Type II error. A Type II error occurs when we fail to reject the Null Hypothesis when it is actually false.

Question 11

When a Belt is analyzing sample data she should keep in mind that 95% of Normally Distributed data is within +/- 2 Standard Deviations from the Mean.

Accepted Answer

This statement is true. It is a common rule in statistics that 95% of normally distributed data falls within two standard deviations from the mean.

Question 12

Hypothesis Tests determine the probabilities of differences between observed data and the hypothesis being solely due to _________ based on the result of the P-values.

Accepted Answer

Hypothesis Tests determine the probabilities of differences between observed data and the hypothesis being solely due to chance based on the result of the P-values. Therefore, the correct answer is D.

Question 13

The Alpha level of a test (level of significance) represents the yardstick against which P-values are measured and the Null Hypothesis is rejected if the P-value is which of these?

Accepted Answer

The Alpha level represents the maximum acceptable probability of rejecting the Null Hypothesis when it is actually true. Therefore, if the P-value is less than the Alpha level, it means that the observed effect is significant enough to reject the Null Hypothesis at the chosen level of significance.

Question 14

For a Normal Distribution the Mean, Median and Mode are the same data point.

Accepted Answer

In a normal distribution, the mean, median, and mode are all the same data point, which is the center of the distribution.

Question 15

A Belt experienced an Alpha of .05 and a Beta of .10 and knew these are the most common risk levels when running a Statistical test.

Accepted Answer

A .05 alpha level and a .10 beta level are commonly used in hypothesis testing to balance the risks of making a Type I error (rejecting a true null hypothesis) and Type II error (failing to reject a false null hypothesis).

Question 16

Inferential Statistics is largely about Significance. There are both Practical and _______________ Significance to consider during an analysis of data in a Lean Six Sigma project.

Accepted Answer

Statistical significance refers to the likelihood that a result or relationship is caused by something other than mere random chance, and it is a key concept in inferential statistics.

Question 17

A primary benefit of using a Multi-Vari Chart is it provides a visual presentation of two-way interactions.

Accepted Answer

A Multi-Vari Chart displays multiple variables simultaneously and helps to identify two-way interactions between them, making it easier to pinpoint the source of a problem or variation.

Question 18

When two Inputs have an impact on the Output together yet seem to have no or little impact on their own this is called a/an ________________.

Accepted Answer

When two inputs have an impact on the output together yet seem to have no or little impact on their own, this is called an interaction.

Question 19

A Six Sigma tool that helps to screen factors by using graphical techniques to logically subgroup multiple discrete X's plotted against a continuous Y is known as a _____________Chart.

Accepted Answer

The Multi-Vari Chart is used to identify which factors have a significant impact on the process output by subgrouping multiple discrete X's against a continuous Y. It helps to identify the critical few factors that need to be further analyzed and optimized. A SIPOC is a high-level process map, a Box Plot displays statistical distribution, and a Whisker plot is a type of Box Plot. None of these are relevant to the use of graphical techniques to subgroup multiple discrete X's.

Question 20

Bias in Sampling is an error due to lack of independence among random samples or due to systematic sampling procedures.

Accepted Answer

Bias in Sampling occurs when there is a lack of independence or systematic sampling procedures, leading to inaccurate or unrepresentative samples.

Exam 6: Six Sigma Green Belt