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).
