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Decision Map: One-sample test for the mean Population normally distributed? Sample Sempty large? large? Population' Population Population Population variance Yes variance yarlanco Yes variance known? known?. known? known? Central limit theorem applies FIGURE 6.3.3 Flowchart for use in deciding between z and t when making inferences about population means. ("Use a nonparametric procedure. See Chapter 13.) Source: Biostatistics: A Foundation for Analysis in the Health Sciences 8th edition, Wayne W. Daniel Perform a 1-sample z-test for the mean. Use a 2-tail test at a = 0.05. Assumptions: 1-sample z-test for the mean. . Study-design assumption: Simple random sampling . Data-related assumption: Parent population was normally distribution or the sample size is sufficiently large. Note: n = 30 is the minimum sample size that should be considered sufficiently large for the Central Limit Theorem to apply. Central Limit Theorem Simulation Research Question: State Hypotheses for the study: H: H, : Starting assumption: Null hypothesis is true. Sketch the distribution, find the critical values and state your decision criteria (i.e. When can the null hypothesis be rejected?)