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  3. . assume x ~ n (10, 4). what is the (approximate)

. Assume X ~ N (10, 4). What is the (approximate) distribution of X if the sample...

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Statistics

. Assume X ~ N (10, 4).

  1. What is the (approximate) distribution of X if thesample size is 100? Briefly discuss the theorem underlying youranswer.
  2. What happens to the variance of as the sample size increases?Draw a diagram and explain.
  3. What two values of (symmetric around the population mean)contain a) 75% and b) 95% of the distribution? Draw a diagram.Relate your answer to b) to the empirical rule.

Answer & Explanation Solved by verified expert
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Given i The approximate distribution of sample mean barX if thesample size n 100is Normally distributedAccording the Central Limit Theorem consider an iidsampleThen as the sample size increases the sample    See Answer
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