A psychologist studied self-esteem scores and found the data set to be normally

Question

A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 80 and a standard deviation of 8. what raw score cuts off the bottom 33% of this distribution? What is the z-score that cuts off the bottom 33% of this distribution? What is the raw score that cuts off the bottom 33% of this distribution? What percentage of the scores is between 88 and 92? What is the z-score that corresponds to the raw score of 88? What is the z-score that corresponds to the raw score of 92? What percentage of the scores is between 88 and 92? A raw score of 72 is associated with what percentile? What is the z-score associated with a raw score of 72? A raw score of 72 is associated with what percentile? what raw scores mark the middle 95% of this distribution? What are the z-scores that mark the middle 95% of this distribution? What is the raw score below the mean? What is the raw score above the mean? What is the median of this distributio

Explanation / Answer

Answer - 8: -1.96, 1.96

Answer - 9: Raw score below the mean = 80 - 1.96*8 = 64.32

Answer- 10: Raw score above the mean = 80 + 1.96*8 = 95.68

Answer - 11: Median = mean = 80

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