A random sample of n = 4 scores is selected from a population.Which of the following distributions will definitively be normal?
A)The scores in the sample will form a normal distribution.
B)The scores in the population will form a normal distribution.
C)The distribution of sample means will form a normal distribution.
D)None of the distributions - the sample, the population, the distribution of sample means -will definitely be normal.

Question

A random sample of n = 4 scores is selected from a population.Which of the following distributions will definitively be normal?​
A)​The scores in the sample will form a normal distribution.
B)​The scores in the population will form a normal distribution.
C)​The distribution of sample means will form a normal distribution.
D)​None of the distributions - the sample, the population, the distribution of sample means -will definitely be normal.

Quizplus · Accepted Answer

The normality of the distributions cannot be definitively determined without knowing the distribution of the population. A sample size of n = 4 is too small to ensure the distribution of sample means is normal unless the population distribution is known to be normal.

A Random Sample of N = 4 Scores Is Selected