Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can explain why a test for a mean uses s and a t-distribution rather than σ and a normal model. (Guide: “From proportions to means”)
- I can explain what makes data matched pairs, and why paired data are analysed as one sample of differences. (Guide: “Recognising matched pairs”; Practice Q2)
- I can explain why “n < 30” alone does not make a t-test inappropriate. (Guide: “The three conditions”; Practice Q4)
Skills
- I can choose between a one-sample t-test for μ, a one-sample t-test for μd and a two-sample procedure, and name the procedure in full. (Guide: Figure 1, Worked example 3; Practice Q2, Q5)
- I can define μ in context, naming the variable, units and population. (Guide: “Defining the parameter”; Practice Q1)
- I can define μd with the order of subtraction stated. (Guide: Worked example 2; Practice Q6)
- I can write H₀ and the correct one-sided or two-sided Hₐ for μ or μd, including for “at least” or “at most” claims. (Guide: “Writing the hypotheses”; Practice Q3)
- I can check the random and 10% conditions in context, and say when the 10% condition does not apply. (Guide: Worked examples 1 and 2; Practice Q5)
- I can check the sample data condition for a small sample, or for the differences, using the 1.5 × IQR rule. (Guide: Worked examples 1 and 2; Practice Q6)
Reasoning
- I can make the direction of Hₐ match the order of subtraction and the wording of the question. (Guide: “Writing the hypotheses”; Practice Q6(b))
- I can decide that a t-test is not appropriate when a condition fails, and suggest what to do. (Guide: Worked example 2; Practice Q4)
- I can find and correct errors in someone else’s set-up. (Practice Q7)
All ticked? Move on to Topic 4.5, Carrying Out a Test for a Population Mean or Population Mean Difference, or return to the course roadmap.