SOLUTION: A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 80 and a standard deviation of 8. What are the z-scores that mark the mi

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Question 1082746: A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 80 and a standard deviation of 8.
What are the z-scores that mark the middle 95% of this distribution?

Answer by stanbon(75887) About Me  (Show Source):
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A psychologist studied self-esteem scores and found the data set to be normally distributed with a mean of 80 and a standard deviation of 8.
What are the z-scores that mark the middle 95% of this distribution?
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Find the z-values for the left and right tails::
invNorm(0.025) = -1.96 for left tail ; +1.96 for right tail
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Find the corresponding scores::
Left score:: xL = -1.96*8+80 = 64.32
Right score:: xR = +1.96*8+80 = 95.68
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Cheers,
Stan H.