9.4 Learning Objectives Revisited

Learning Objectives

As a result of completing this chapter, you will be able to do the following:

  • Explain the sampling distribution of the difference between two sample means [latex]\bar{X_1} - \bar{X_2}[/latex] for two independent samples (Section 9.1).
  • State the assumptions for inferences about the difference between two population means based on two independent samples (Section 9.2).
  • Obtain and interpret a [latex](1 – \alpha) \times 100\%[/latex] two-mean conference interval for [latex]\mu_1[/latex] – [latex]\mu_2[/latex] (Section 9.2).
  • Conduct a two-mean (sample) t-test (Section 9.2).
  • Determine whether two samples are independent or paired (Section 9.3).
  • Obtain and interpret a paired t-confidence interval (Section 9.3).
  • Conduct a paired t-test (Section 9.3).
  • Explain the relationship between the results of a hypothesis test at significance level [latex]\alpha[/latex] and the corresponding [latex](1 – \alpha) \times 100\%[/latex] confidence interval (Section 9.3).


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