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:

1. Q61:What is the z-score that cuts off the bottom 33% of this distribution?
2. Q62: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? Steps:

1. Q63:What is the z-score that corresponds to the raw score of 65?
2. Q64:What is the z-score that corresponds to the raw score of 70?
3. Q65:What percentage of the scores is between 65 and 70?

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

1. Q66:What is the z-score associated with a raw score of 57.5?
2. Q67:A raw score of 57.5 is associated with what percentile?

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

Steps:

1. Q68:What are the z-scores that mark the middle 95% of this distribution?
2. Q69:What is the raw scorebelowthe mean?
3. Q70:What is the raw scoreabovethe mean?

Part E:**What is the median of this distribution?

1. Q71:What is the median of this distribution?