A simple random sample of size nequals56 is obtained from a population with muequals77 and sigmaequals3. Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? What is the sampling distribution of x overbar? Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x overbar normal, regardless of the sample size, n. B. No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x overbar becomes approximately normal as the sample size, n, increases. C. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. D. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x overbar become approximately normal as the sample size, n, increases. What is the sampling distribution of x overbar? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed.)