A simple random sample of size nequals67 is obtained from a population that is skewed left with muequals41 and sigmaequals6. 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? Question content area bottom Part 1 Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? A. Yes. 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. 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. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. D. No. 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. Part 2 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.) A. The sampling distribution of x overbar is uniform with mu Subscript x overbarequals enter your response here and sigma Subscript x overbarequals enter your response here. B. The sampling distribution of x overbar is approximately normal with mu Subscript x overbarequals enter your response here and sigma Subscript x overbarequals enter your response here. C. The sampling distribution of x overbar is skewed left with mu Subscript x overbarequals enter your response here and sigma Subscript x overbarequals enter your response here. D. The shape of the sampling distribution of x overbar is unknown with mu Subscript x overbarequals enter your response here and sigma Subscript x overbarequals enter your response here