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Find z such that 83% of the standard normal curve lies to the right of z. (Round your answer to two decimal places.)

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Final answer:

To find the z-score where 83% of the area under the standard normal curve lies to the right, you can refer to a z-table which typically shows the area to the left. The corresponding z-score for an area of 17% to the left (or 83% to the right) is approximately +0.954, rounded to two decimal places.

Step-by-step explanation:

To find a value of z such that 83% of the standard normal curve lies to the right of z, you need to look up the corresponding z-score that has 17% of the area under the curve to the left of it (since the total area under the curve is 100%). This is because most z-tables show the area under the curve to the left of the z-score. You will find that the z-score for 0.17 is -0.954. However, since we want the area to the right, you should use the positive value of this z-score. Therefore, the required z-score is approximately +0.954, rounded to two decimal places.

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