 Finding the z-scores and raw scores

User Generated

yxq887

Mathematics

Description

The following 10 items are based on the following summarized research:

A psychologist studied self-esteem scores and found the sample data set to be normally distributed with a mean of 50 and a standard deviation of 5.

Part A**What raw score cuts off the bottom 10.03% of this distribution? Or to phrase another way, what raw score is associated with the 10.03 percentile?

What is the z-score that cuts off the bottom 10.03% of this distribution? Or to phrase another way, what z-score is associated with the 10.03 percentile?  (HINT:  Don't forget that z scores BELOW the mean are negative!)

What is the raw score that cuts off the bottom 10.03% of this distribution? Or to phrase another way, what raw score is associated with the 10.03 percentile?

Part B**What percentage of the scores is between 57.5 and 65?

Steps:

What is the z-score that corresponds to the raw score of 57.5?

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

What percentage of the scores is between 57.5 and 65?

Part C:**A raw score of 35 is associated with what percentile?

Steps:

What is the z-score associated with a raw score of 35?

A raw score of 35 is associated with what percentile?

Part D:**What raw scores mark the middle 34% of this distribution? (HINT: DRAW AND SHADE IN THE MIDDLE 34% TO VISUALIZE!  Remember.....the middle 34% means that 17% is BELOW the mean and 17% is ABOVE the mean......)

Steps:

What are the z-scores that mark the middle 34% of this distribution? The z-score below the mean is The z-score above the mean is
What is the raw score below the mean? User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.   Anonymous
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