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Find the z-score such that the area under the standard normal curve to the left is 0.19 . is the z-score such that the area under the curve to the left is 0.19 . (Round to two decimal places as needed.)

Ask by Sandoval Elliott. in the United States
Mar 17,2025

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The z-score is approximately -0.88.

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The Deep Dive

To find the z-score corresponding to an area of 0.19 to the left under the standard normal curve, you would typically refer to a standard normal (Z) table or use a calculator with statistical functions. The z-score that correlates with an area of 0.19 is approximately -0.88. This indicates that 19% of the data lies to the left of this z-score. Calculating z-scores can be tricky, but one common mistake is to confuse the area to the left with the area to the right. Always remember that the total area under the curve is 1. So if you're ever tasked with finding an area to the right, simply subtract from 1. In this case, knowing the left area helps you directly find your z-score!

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