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

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

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

Answer

Answer:

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

Explanation:

Step1: Central Limit Theorem

The Central Limit Theorem states that for a sample size (n> 30) (or if the population is normally - distributed), the sampling distribution of the sample mean is approximately normal. This is crucial for making statistical inferences about population parameters.

Step2: Sampling method

A simple random sample is required for valid statistical inference. In a simple random sample, each member of the population has an equal chance of being selected. This helps to ensure that the sample is representative of the population, reducing bias. A convenience sample is not suitable as it may introduce bias, and a systematic sample may also have issues if there is a hidden pattern in the population. A sample size greater than 100 is not a necessary condition (30 is the common threshold from the Central Limit Theorem).