Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.4661. if the area is not in the​ table, use the entry closest to the area. if the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores.

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Answer: The corresponding z-score would be -0.085 for a cumulative area of 0.4661.

When you look on a normal distribution table, you will see that the value of 0.4661 falls between z-scores of -0.08 and -0.09. Therefore, we should find the middle of those 2 numbers to get the best possible approximation. That would be -0.085 for the z-score.

The z-score at the cumulative area of 0.4661 is -0.085

How to determine the z-score?

The cumulative area is given as:

0.4661

This means that:

P = 0.4661

Next, we use a standard normal table to find the​ z-score.

From the standard normal table of z-scores, we have:

z = -0.085 when P = 0.4661

Hence, the z-score at the cumulative area of 0.4661 is -0.085

Read more about z-scores at:

brainly.com/question/25638875

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