Question: Answer each question in 250+ words please. 1. Why are statistical inference and predictive statistical methods important to Six Sigma? 2. Define a hypothesis test,

Answer each question in 250+ words please.

1. Why are statistical inference and predictive statistical methods important to Six Sigma?

2. Define a hypothesis test, and list the steps that are required to conduct one. Why do we need two hypotheses? What is the statistical basis for ANOVA; that is, what hypothesis is it designed to test?

3. What is the purpose of the design of experiments? Describe a factorial experiment. Provide some examples of factorial experiments that you might use to solve some types of quality-related problems.

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