Use the given shaded area (0.9454) in the middle of the standard normal distribution and the given z-score (1.82) to find the missing z-score. The shaded region is not symmetric about z=0
. Round your final answer to two decimal places.
Since the shaded region is not symmetric about z=0, we can find the missing z-score by finding the complement of the given shaded area (0.9454).
The complement of the shaded area is 1 - 0.9454 = 0.0546.
To find the z-score corresponding to a shaded area of 0.0546, we can use the standard normal distribution table or a calculator.
Using a standard normal distribution calculator, we find that the z-score corresponding to a shaded area of 0.0546 is approximately -1.84.
Therefore, the missing z-score is -1.84 (rounded to two decimal places).