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A simple random sample of size n = 56 is obtained from a population that is skewed left with p = 90 and c =

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A simple random sample of size n = 56 is obtained from a population that is skewed left with p = 90 and c = 5. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why?'What is the sampling distribution of x? Does the population need to be normally distributed for the sampling distribution of)? to be approximately normally distributed? Why? 0 A. No. The central limit theorem states that regardless oft he shape of the underlying population, the sampling distribution of )t becomes approximately normal as the sample size, n, increases. 0 3- Yes. The central limit theorem states that out y for underlying populations that are normal is the shape of the sampling distribution of )2 normal, regardless of the sample size, n. O C. 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 become approximately normal as the sample size, n, increases. OD. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increaseIs. l ' What is the sampling distribution of )1? Select the correct choice below and ll in the answer boxes within your choice. 3 (Type integers or decimals rounded to three decimal places as needed.) (WA 11,, .. ....,_ _

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