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

(*you will need your z-tables from Howell to complete many of these questions)

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?

Steps: (IT HELPS TO DRAW A GRAPH AND SHADE THE AREA(S) IN QUESTION)

To avoid mis-scoring by Blackboard, enter only numbers and, if required, negative signs (-) and decimal points (.).

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

What is theraw scorethat cuts off the bottom 10.03% of this distribution?Or to phrase another way, whatraw scoreis associated with the 10.03 percentile?

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

Steps:

What is thez-scorethat corresponds to the raw score of 57.5?

What is thez-scorethat corresponds to the raw score of 65?

Whatpercentageof the scores is between 57.5 and 65?

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

Steps:

What is thez-scoreassociated with a raw score of 35?

A raw score of 35 is associated with whatpercentile?

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 thez-scoresthat mark the middle 34% of this distribution? Thez-scorebelowthe mean isThez-scoreabovethe mean is

What is theraw scorebelowthe mean?