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.

Part A: What raw score cuts off the bottom 33% of this distribution? Steps:

Q1: What is the z-score that cuts off the bottom 33% of this distribution?

Q2: What is the raw score that cuts off the bottom 33% of this distribution?

Part B: What percentage of the scores is between 65 and 70?

Q3: What is the z-score that corresponds to the raw score of 65?

Q4: What is the z-score that corresponds to the raw score of 70?

Q5: What percentage of the scores is between 65 and 70?

Part C: A raw score of 57.5 is associated with what percentile?

Q6: What is the z-score associated with a raw score of 57.5?

Q7: A raw score of 57.5 is associated with what percentile?

Part D: What raw scores mark the middle 95% of this distribution?

Q8: What are the z-scores that mark the middle 95% of this distribution?

Q9: What is the raw score below the mean?

Q10: What is the raw score above the mean?

Part E: What is the median of this distribution?

Q11: What is the median of this distribution?