Introduction to Hypothesis Testing and Tests for Means in Six Sigma

Inquiry

During the Analyze phase of a Six Sigma improvement project, the team conducts a number of statistical analyses to determine the nature of variables and their interrelationships in the process under study. Team members typically collect samples of the population data to be analyzed, and based on that sample data, they make hypotheses about the entire population.

Because there is a lot at stake in forming the correct conclusions about the larger population, Six Sigma teams validate their inferences using hypothesis tests. This course introduces basic hypothesis testing concepts, terminologies, and some of the most commonly used hypothesis tests  one- and two-sample tests for means. The course also discusses the importance of sample size and power in hypothesis testing, as well as exploring issues relating to point estimators and confidence intervals in hypothesis testing. This course is aligned to the ASQ Body of Knowledge and is designed to assist Green Belt candidates toward their certification and to become productive members on their Six Sigma project teams.

  • Topic T4 Objective O5
  • Identify the purpose of hypothesis testing
  • Topic T9 Objective O10
  • Match elements of a hypothesis test with corresponding descriptions
  • Topic T14 Objective O15
  • Identify best practices when establishing the practical significance of hypothesis testing results
  • Topic T19 Objective O20
  • Demonstrate your understanding of basic concepts related to hypothesis testing
  • Topic T27 Objective O28
  • Recognize how confidence intervals are used in hypothesis testing
  • Topic T32 Objective O33
  • Recognize the attributes of Type I and Type II errors
  • Topic T37 Objective O38
  • Classify estimates and error types
  • Topic T45 Objective O46
  • Identify factors that affect the power of a hypothesis test
  • Topic T50 Objective O51
  • Determine sample size for a given alpha risk level using margin of error formula
  • Topic T55 Objective O56
  • Determine the power and appropriate sample size for a given hypothesis test
  • Topic T63 Objective O64
  • Sequence the steps in the hypothesis testing process
  • Topic T68 Objective O69
  • Match examples of alternative hypotheses with their corresponding probability distribution graphs
  • Topic T73 Objective O74
  • Determine whether to reject a null hypothesis based on given critical values and p-values
  • Topic T78 Objective O79

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