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Question 14 1 pts A simple random sample of size n 43 Is obtained from a populat

ID: 2906646 • Letter: Q

Question

Question 14 1 pts A simple random sample of size n 43 Is obtained from a population with-, 55 and ? Does the population need to be normaily distributed for the sample distribution of to be approximately normally distributed? Why or why not? .Ves because the Central Limit Theorem states that the sampling variability of non-normal populations willincrease as the sample siae Q No because the Central Limit Theorem states that regardless of the shape of the underlying population, the samoling distribution of a Yers because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of E normal, regardless of the sample size, n No because the Central Limit Theorem states that only if the shape of the underlying population is normal or unitorm does the sampling distribution of & become approximately normal as the sample size, , increases

Explanation / Answer

Correct option (B)

No, because Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x-bar becomes approximately normal as the sample size, n increases.

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