Find the Z-value with an area of 0.0256 under the standard normal curve to its left.
Question
Find the Z-value with an area of 0.0256 under the standard normal curve to its left.
Solution
To find the Z-value with an area of 0.0256 under the standard normal curve to its left, you would use a Z-table or an online Z-score calculator.
Here are the steps:
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Identify the given area under the curve, which is 0.0256 in this case.
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Look up this area in the Z-table or input it into the online Z-score calculator. The Z-table is divided into two parts: the positive Z-score and the negative Z-score. Since the area is to the left of the mean, we are dealing with a negative Z-score.
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The Z-score that corresponds to an area of 0.0256 under the standard normal curve is approximately -1.96.
So, the Z-value is -1.96.
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