Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers Flashcards
6 cards from real Certified Six Sigma Black Belt Exam practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
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What effect does increasing the sample size have on the power of a hypothesis test, assuming all other factors remain constant?
Answer: Power increases
Increasing the sample size reduces the standard error, making it easier to detect a true effect and thereby increasing statistical power.
A Black Belt uses a chi-square test of independence. What type of data is this test designed to analyze?
Answer: Categorical data in a contingency table
The chi-square test of independence evaluates whether two categorical variables are associated by analyzing observed versus expected frequencies in a contingency table.
Which non-parametric test is the appropriate alternative to the one-sample t-test when the normality assumption is violated?
Answer: Wilcoxon signed-rank test
The Wilcoxon signed-rank test is the non-parametric equivalent of the one-sample t-test, used when the data cannot be assumed to follow a normal distribution.
What does the confidence level of 95% mean in the context of hypothesis testing?
Answer: If the study were repeated many times, 95% of the intervals would contain the true parameter
A 95% confidence level means that in repeated sampling, approximately 95% of the constructed intervals would capture the true population parameter.
When should a Black Belt use a one-tailed test instead of a two-tailed test?
Answer: When there is a specific directional hypothesis supported by prior knowledge
A one-tailed test is appropriate when there is a strong theoretical or practical reason to test for an effect in only one specific direction.
What is the null hypothesis in a one-way ANOVA test?
Answer: All group means are equal
The null hypothesis in one-way ANOVA states that all population group means are equal, and any observed differences are due to random variation.