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I. Using the central limit theorem, what is the distribution of sample means when the population distribution is the following?

PART (A)

  • rectangular
  • (a) positively skewed
  • (b) uniformly distributed
  • (c) normally distributed
  • (d) negatively skewed
  • (e) evenly distributed

PART (B)

  • normally distributed
  • (a) positively skewed
  • (b) uniformly distributed
  • (c) evenly distributed
  • (d) normally distributed
  • (e) negatively skewed

PART (C)

  • positively skewed
  • (a) evenly distributed
  • (b) uniformly distributed
  • (c) negatively skewed
  • (d) normally distributed
  • (e) positively skewed

PART (D)

  • nonmodal
  • (a) negatively skewed
  • (b) normally distributed
  • (c) evenly distributed
  • (d) uniformly distributed
  • (e) positively skewed

PART (E)

  • multimodal
  • (a)negatively skewed
  • (b) positively skewed  
  • (c) uniformly distributed
  • (d)evenly distributed
  • (e)normally distributed

PART (F)

  • negatively skewed
  • (a) normally distributed
  • (b) positively skewed
  • (c) negatively skewed
  • (d) evenly distributed
  • (e) uniformly distributed

 

II. Using the skewed distribution rule, what is the distribution of sample variances when the population distribution is the following?

PART (A)

  • rectangular
  • (a) negatively skewed
  • (b)positively skewed  
  • (c) uniformally distributed
  • (d) evenly distributed
  • (e)normally distributed

PART (B)

  • normally distributed
  • (a)normally distributed
  • (b)uniformally distributed
  • (c)negatively skewed
  • (d) evenly distributed
  • (e)positively skewed

PART (C)

  • positively skewed
  • (a) negatively skewed
  • (b) evenly distributed
  • (c) positively skewed
  • (d)uniformally distributed
  • (e) normally distributed

PART (D)

  • nonmodal
  • (a)normally distributed
  • (b)negatively skewed
  • (c) evenly distributed
  • (d) positively skewed
  • (e)uniformally distributed

PART (E)

  • multimodal
  • (a) normally distributed
  • (b) uniformally distributed
  • (c) evenly distributed
  • (d) positively skewed
  • (e) negatively skewed

PART (F)

  • negatively skewed
  • (a) normally distributed
  • (b) uniformally distributed
  • (c) negatively skewed
  • (d) evenly distributed
  • (e) positively skewed

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