Suppose we select a sample of size n from a population that follows a normal distribution. What is the shape of the sampling distribution of the sample means: normal distribution for any value of n. normal only for $n > 30$. t distribution only for $n > 30$. normal for all values of $n < 30$.
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This is known as the Central Limit Theorem. The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution, regardless of the shape of the population distribution. This means Show more…
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