which of the following criteria are necessary conditions for making a statistical inference? sample size…

Brief Explanations:

For making a statistical inference, a simple - random sample is crucial as it helps in getting an unbiased representation of the population. Also, for the Central Limit Theorem to apply (which is often used in statistical inference), either the sample size should be greater than 30 or the data set should be approximately normal. A convenience sample is not suitable as it may introduce bias. A sample size greater than 100 is not a necessary condition (30 is often the threshold for the Central Limit Theorem). A systematic sample can be used but is not as fundamental as a simple - random sample for basic statistical inference.

Answer:

sample size greater than 30, or an approximately normal data set, simple random sample