Six Sigma Black Belt Exam Prep

Category - Black Belt

A Black Belt practitioner states in a project report that “we are 95% confident that the average age of consumers of Product A are between 34 and 38 years”. What does a confidence interval denote?
  1. they are 5% confident about the average age of the population
  2. they are 95% confident about the average age of the sample
  3. they are 5% confident about the average age of the sample
  4. they are 95% confident about the average age of the population
Explanation
Answer: D - A confidence interval denotes that they are 95% confident about the average age of the population.

Key Takeaway: In the above example, the practitioner is 95% confident that the average age of the population consumers of Product A are between 34 and 38 years. Since the average age is calculated based on a sample and not the population, a confidence level is considered an inferential tool. In other words, an inference or an educated guess is made about the population based on the characteristics of the sample.
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