Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers Flashcards
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Read the first 6 Certified Six Sigma Black Belt Hypothesis Testing Questions and Answers flashcards as text
In hypothesis testing, what does a Type II error represent?
Answer: Failing to reject a false null hypothesis
A Type II error (beta error) occurs when the test fails to reject a null hypothesis that is actually false.
A Black Belt sets alpha at 0.05 and obtains a p-value of 0.03. What is the correct conclusion?
Answer: Reject the null hypothesis
Since the p-value (0.03) is less than alpha (0.05), there is sufficient evidence to reject the null hypothesis.
Which hypothesis test is most appropriate for comparing the means of three or more independent groups?
Answer: One-way ANOVA
One-way ANOVA is designed to test whether there are statistically significant differences among the means of three or more independent groups.
What is the primary purpose of calculating statistical power in a hypothesis test?
Answer: To determine the sample size needed
Statistical power analysis is primarily used to determine the minimum sample size required to detect a meaningful effect at a given significance level.
When conducting a two-proportion test, which assumption must be satisfied?
Answer: The expected number of successes and failures in each sample should be at least five
The two-proportion z-test requires that np and n(1-p) are each at least five in both samples to ensure the normal approximation is valid.
In a paired t-test, what characteristic of the data distinguishes it from an independent two-sample t-test?
Answer: Each observation in one group is matched to a specific observation in the other group
A paired t-test is used when observations are naturally matched or paired, such as before-and-after measurements on the same subjects.