Question

which of the following criteria are necessary conditions for making a statistical inference? choose two correct answers. sample size greater than 100 systematic sample simple random sample sample size greater than 30, or an approximately normal data set convenience sample

Explanation:

• For making a statistical inference, a simple random sample is important as it helps in getting an unbiased sample. Also, according to the Central Limit Theorem, if the sample size \(n> 30\) or the data set is approximately normal, we can make valid statistical inferences about the population parameters. A sample size greater than 100 is not a strict necessary condition (as \(n > 30\) is often sufficient in many cases). A systematic sample may introduce some biases depending on the system and is not as fundamental as the simple random sample and the sample - size / normality condition. A convenience sample is highly likely to be biased and is not a necessary condition for valid statistical inference.

Answer:

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