Six Sigma Green Belt Certification Practice Exam

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Prepare for your Six Sigma Green Belt Certification Exam with confidence. This exam is a critical step in enhancing your career prospects in quality management and process improvement. Tackle interactive questions with hints and explanations and ace your certification!

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Which test examines the variance of multiple sample means?

ANOVA
MUDA
Student's t Test
F Distribution

The correct answer is: ANOVA

The test that examines the variance of multiple sample means is ANOVA, which stands for Analysis of Variance. ANOVA is a statistical method used to determine if there are statistically significant differences between the means of three or more independent groups. By comparing the variance within each sample group to the variance among the sample means, ANOVA assesses whether the observed differences are likely due to random chance or if they reflect true differences among the groups. ANOVA employs an F-statistic, which is a ratio of the variance between the groups to the variance within the groups. If the F-statistic is significantly large, it indicates that at least one group mean is different from the others, leading to the conclusion that the group means are not all equal. The other options do not specifically deal with the variance of multiple sample means in the same way that ANOVA does. While the Student's t Test is useful for comparing the means of two groups, it does not accommodate multiple groups in the same analysis. MUDA refers to waste in Lean methodology and is not a statistical test, and F Distribution is a probability distribution that arises in the context of ANOVA but is not itself a test for evaluating variance among sample means.