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Determine the following standard normal (z) curve areas. (Round

your answers to four decimal places.)
(a) the area under the z curve between −2.23 and 0.54

1 Answer

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To find the area under the standard normal curve between two z-scores, look up the areas to the left of each z-score in a z-table and subtract the smaller area from the larger area. For illustration, if the area to the left of -2.23 was 0.0129 and the area to the left of 0.54 was 0.7054, the area between z-scores would be 0.7054 - 0.0129 = 0.6925.

The question asked involves calculating the area under the standard normal curve for specific z-scores. Using a z-table, you can find the area to the left of each z-score and then determine the area between them by taking the difference.

For the z-score of -2.23, we look up the value in a z-table and find the area to the left. Similarly, for the z-score of 0.54, we find the corresponding area to the left.

The desired area between -2.23 and 0.54 is the difference between these two areas. If we have the z-table values of these specific z-scores, we would subtract the area to the left of -2.23 from the area to the left of 0.54 to get the answer.

Since we don't have the specific table values for -2.23 and 0.54 in the given information, you would typically use the z-table to find these values.

However, for illustration, if the area to the left of -2.23 was 0.0129 and the area to the left of 0.54 was 0.7054, the area between z-scores would be 0.7054 - 0.0129 = 0.6925.

User Moshe Gross
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