week 5 lean six

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Purdue University *

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LEAN SIX S

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Statistics

Date

Jan 9, 2024

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docx

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Uploaded by SuperHumanTigerPerson976

Which of the following are measures used to describe the center of the data set? a) median b) mean c) mode d) all of the above d) all of the above For symmetric data, which of the following is true? a) mode>mean>median b) mode<mean<median c) mode=mean=median d) none of the above c) mode=mean=median Brainpower Read More Inferential statistics are used to determine___________ a) conclusions that extend beyond existing data b) exact cause-and-effect relationships c) judgements about what employees are doing in the process d) all of the above a) conclusions that extend beyond existing data Standard deviation can be used to describe the variation of normal and non-normal data. True False True When you are unable to measure the entire population, you typically take a sample to represent the population. True False True High standard deviation represents a tightly controlled process. True False False _________ are used to display descriptive statistics. a) Histograms b) Run charts c) Both a and b d) None of the above c) Both a and b The Analyze Phase of the DMAIC Six Sigma project can include ___________ a) statistical analysis b) graphical analysis

c) both a and b d) neither c) both a and b In a statistical study, population refers to the entire set of objects, individuals, or measurement items defined by the scope of the study that exhibits a particular characteristic. True False True What is the range of this data set: 3,4,5,6,7 a) 2 b) 4 c) 3 d) 1 b) 4 The smaller, the standard deviation, the more robust the process. True False True The mode is the most frequently occurring the value of a data set. True False True After randomly selected samples from a population are measured, the resulting data are analyzed to produce descriptive statistics. True False True Inferential statistics make inferences about a population from a sample. True False True The equation to calculate range is: Range=x (largest data point) - x (smallest data point) True False True You plan to reduce the variation in your process. Which of the following are you trying to improve?

a) mean b) standard deviation c) median d) mode b) standard variation Stability is a measure of how accurately the system performs over time. True False True An attribute agreement analysis is a measurement system analysis for continuous data. True False False Bias is a measure of the bias in the measurement system. True False True Which of the following graphs are found in a gage r & r study? a) gage run chart and bar chart b) XBar amd R (control charts) c) scatter plots d) all of the above e) only a and b d) all of the above An example of poor linearity is when the measured samples are higher than the standard at the low end of the range, and lower than the standard at the higher end of the range. True False True When you have only one operator, measuring samples, you were unable to calculate ______ a) repeatability b) bias c) reproducibility d) precision c) reproducibility Randomizing the samples is not necessary to obtain an accurate measurement of repeatability. True False False Reproducibility is the variation due to appraiser variation. True False True

What is the minimum number of distinct categories necessary to pass a variable gage r & r? a) 2 b) 12 c) 5 d) 3 c) 5 Stability is the total variation obtained with a particular device, on the same part, when measuring a single characteristic over time. True False True Linearity is a measure of how the size of the part affects the accuracy of the measurement system. True False True When an inspector consistently measures higher than the standard, is an example of _______ a) precision b) repeatability c) bias d) linearity c) bias Repeatability is the __________ a) change in measurements over time b) variation in measurements of the same unit by the same person c) closeness of a measurement to the actual value d) variation in measurements of the same unit by different employees or devices b) variation in measurements of the same unit by the same person Measuring systems analysis (MSA) determines if a measuring system can generate accurate and precise data, and if that data is adequate to obtain your objectives. True False True In order to measure repeatability, how many times must an inspector measure the same part? a) at least 6 b) at least 2 c) at least 3 d) at least 4 b) at least 2 Appraisers measure the same parts in a different order multiple times to capture repeatability of the test. True False

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