Question: A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standard deviation of 5

A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 60 and a standard deviation of 5

  1. What is the Z score that cuts off the bottom 33% of this distribution?
  2. What is the raw score that cuts off the bottom 33% of this distribution?
  3. What is the Z score that corresponds to the raw score of 65?
  4. What is the Z score that corresponds to the raw score of 70?
  5. What percentage of the scores is between 65 and 70?
  6. What Z score associated with a raw score of 57.5?
  7. A raw score of 57.5 is associated with what percentile?
  8. What are the Z scores that mark the middle 95% of this distribution?
  9. What is the raw score below the mean?
  10. What is the raw score above the mean?
  11. What is the median of this distribution?

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