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Please answer: A simple random sample of size n=53 is obtained from a population with ?=64 and ?=7. Does the population need to be normally

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  1. A simple random sample of size n=53 is obtained from a population with ?=64 and ?=7. 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??
  2. A simple random sample of size n=43 is obtained from a population with ?=81 and ?=4. 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??

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What is the sampling distribution of it\"? Select the correct choice below and ll in the answer boxes Iwithin your choice. {Type integers or decimals rounded to three decimal places as needed} 0 A- The sampling distribution of i: is normal or approximately normal with \"I: = D and e; = D. C} E- The sampling distribution of it follows Student's tdistribution with p; = D and e; = D. Q C- The sampling distribution of x is skewed left with \"5: = D and \"it = D. C} D- The sampling distribution of x is uniform with "i = D and \"i = D

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