Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25 comma 000 Jason’s sample consisted of 0 point 2 4 percent of the population, while Yolanda’s sample consisted of 0 point 3 2 percent of the population. Whose sample can be used to make inferences about the population?

Jason’s sample size is 0.24% of 25,000, or 0.0024 × 25,000 = 60. Yolanda’s sample size is 0.32% of 25,000, or 0.0032 × 25,000 = 80. Both are simple random samples with at least 30 observations, so the central limit theorem allows each sample to be used to make inferences even though the population is not normally distributed. The correct choice is both Jason’s sample and Yolanda’s sample.

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