Find the Z-value with an area of 0.7134 under the standard normal curve to its right.
Question
Find the Z-value with an area of 0.7134 under the standard normal curve to its right.
Solution
To find the Z-value with an area of 0.7134 under the standard normal curve to its right, you need to use the Z-table or a standard normal distribution calculator.
However, the Z-table typically gives the area to the left of the Z-value. So, you need to convert the area to the left first.
Since the total area under the curve is 1, the area to the left of the Z-value is 1 - 0.7134 = 0.2866.
Now, you can look up this value in the Z-table or use a standard normal distribution calculator to find the corresponding Z-value.
The Z-value that corresponds to an area of 0.2866 to the left under the standard normal curve is approximately -0.56.
So, the Z-value with an area of 0.7134 to its right is approximately -0.56.
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