Asimple random sample of size n = 37 is obtained from a popuiation with p: 62 and 0:2. Does the population need to be non'nally distributed for the sampling distribution of; to be approximately normally distributed? Why? What is the sampling distribution of 37:? Does the population need to be norrnaliy distributed for the sampiing distribution of)? to be approximately normally distributed? Why? 0 A. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sampie size increases 0 B- No because the Central Limit Theorem states that only ifthe shape oi the underlying population is normal or uniform does the sampiing distribution of} become approximately normal as the sample size, n. increases. 0 (3- Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the sampling distribution of} normal, regardless oi the sample size. n. O D- No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution oi)? becomes approximateiy normai as the sample size, n, increases, What is the sampling distribution ctr(P Select the correct choice below and ll in the answer boxes within your choice. (Type integers or decimais rounded to three decimal piaces as needed.) O A- The sampiing distribution of}; is normal or approximately normal with pi : and oi : O B- The sampiing distribution of}; is unilorm with \"i : and )? : O C- The sampiing distribution of}? is skewed left with [1); = and 0'; = O D- The sampiing distribution of}? follows Student's tdistribution with \"R = and \"R =