A simple random sample of size n = 39 is obtained from a population that is skewed left with = 66 and o = 3. Does the population need to be normally distributed for the samplingdistribution of to be approximately normally distributed? Why? What is the sampling distribution of x?

1 VAde random sample 0! size n = 39 is obtained from a population that is skewed left with p = 66 and a = 3_ Does the population need to be normally distributed for the sampling l ' distribution at i to be approximately normally distributed? th What is the sampling distribution of it? .'E} I Does the population need to be normally distributed tor the sampling distribution of} to be approximately normally distributed? Why? 0 A- No. The central limit theorem states that regardless of the shape of the underlying population, the sampling distribution of )2 becomes approximately normal as the sample size, n. Increases. I O 3- No. The central limit theorem states that only if the shape of lhe underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size. n. increases. 0 C. Yel. The central limit theorem states that the sampling variability of nonnorrnal populations will increase as the sample size increases. 0 D- Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the sampling distribution of )_