SOLUTION: 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. What is the z-score that cu

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Question 734326: 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.
What is the z-score that cuts off the bottom 10.03% of this distribution?
What is the raw score that cuts off the bottom 10.03% of this distribution?
Please help me with the steps on how to achieve these answers. Really lost and confused!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.
What is the z-score that cuts off the bottom 10.03% of this distribution?
Using a TI-84 calculator get invNorm(0.1003 = -1.2798
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What is the raw score that cuts off the bottom 10.03% of this distribution?
Use the form x = z*s + u to find the raw score
x = -1.2798*5 + 50 = 43.6
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Cheers,
Stan H.