SOLUTION: Hello. Any help on the following is greatly appreciated. Find the standard score (z) such that the area below the mean and below z is about 16% of the area under the normal cur

Algebra ->  Probability-and-statistics -> SOLUTION: Hello. Any help on the following is greatly appreciated. Find the standard score (z) such that the area below the mean and below z is about 16% of the area under the normal cur      Log On


   

Question 651548: Hello. Any help on the following is greatly appreciated.
Find the standard score (z) such that the area below the mean and below z is about 16% of the area under the normal curve.
Note: I've seen this answer z = invNorm(0.16) = -0.9945, however I'd like to understand the steps to get here. Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the standard score (z) such that the area below the mean and below z is about 16% of the area under the normal curve.
Note: I've seen this answer z = invNorm(0.16) = -0.9945, however I'd like to understand the steps to get here.
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To SEE these statistical formulas you should
1st: draw a normal curve with horizontal base being z-values.
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2nd: Mark a z=0 in the middle
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3rd: Shade a left tail area 16%
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4th: Use a TI calculator to find the z-value with a left tail of 16%.
invNorm(0.16) = -0.9945
That is the z-value that cuts off a tail of 16%
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Cheers,
Stan H.