4.4.C—Justify the appropriateness of a hypothesis test for a population mean or population mean difference by…

Justify the appropriateness of a hypothesis test for a population mean or population mean difference by verifying conditions.

• A one-sample t-test for a population mean or a population mean difference requires that three conditions be met:
  • i. The randomization condition—the data should be collected using a random sample or a randomized experiment.
  • ii. The 10% condition—when sampling without replacement, the population size must be at least 10 times larger than the sample size (%nN≤10 ), where N is the size of the population and n is the sample size.
  • iii. The sample data condition—it is indicated the population distribution is approximately normal, or n ≥30, or if n <30, the sample data distribution should be free from strong skewness and outliers. For matched pairs, the number of differences should be greater than or equal to 30. If the number of differences is less than 30, the sample of differences should be free from strong skewness and outliers. 129 Inference for Quantitative Data: Means UNIT 4