which of the following conditions must be met in order to make a statistical inference about a population…

Brief Explanations:

The Central Limit Theorem states that if the sample size ($n$) is large enough (usually $n\geq30$), the sampling - distribution of the sample mean will be approximately normal regardless of the shape of the population distribution. Here, $\mu$ is the population mean, $\bar{x}$ is the sample mean, $n$ is the sample size, and $N$ is the population size. The key condition for making statistical inferences when the population is not normally distributed is a large enough sample size.

Answer:

C. $n\geq30$