A random sample of n = 36 scores is selected from a population. Which of the following distributions definitely will be normal? The scores in the sample will form a normal distribution. The scores in the population will form a normal distribution. The distribution of sample means will form a normal distribution. Neither the sample, the population, nor the distribution of sample means will definitely be normal.

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Answer:

The distribution of sample means will form a normal distribution

Step-by-step explanation:

By the Central Limit Theorem, we have that:

The distribution of sample means will form a normal distribution.

The Central Limit Theorem states that for a random variable X, of size at least 30, it can be approximated to a normal distribution.

In this problem:

  • Sample of 36 scores.
  • We don't know the distribution of the scores, but by the Central Limit Theorem, as the sample is larger than 30, the distribution of sample means will form a normal distribution.

For more on the Central Limit Theorem, you can check https://brainly.com/question/14099217