Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 186 and a standard deviation of 35. What percent of the young women have the following cholesterol levels? (Round your answers to one decimal place.) (a) greater than 224  % (b) between 188 and 222

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Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.

The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 186 and a standard deviation of 35. What percent of the young women have the following cholesterol levels? (Round your answers to one decimal place.)

(a) greater than 224
 %

(b) between 188 and 222
**Area Under the Standard Normal Curve**

This table provides the cumulative area under the standard normal curve for a given z-score (z). It shows the area (A) from the mean (0) to the specified z-score. This is useful for finding probabilities associated with normal distributions.

The table is structured with two columns per z-score increment:

- **z** - The z-score value.
- **A** - The cumulative area corresponding to the z-score.

For example, if you are looking for the area to the left of a z-score of 1.50, you find 1.5 under the z column and then move across to get the area as 0.4332.

Here's a portion of the table for better understanding:

| z    | A     | z    | A     | z    | A     | z    | A     | z    | A     | z    | A     |
|------|-------|------|-------|------|-------|------|-------|------|-------|------|-------|
| 0.00 | 0.000 | 0.56 | 0.212 | 1.12 | 0.369 | 1.68 | 0.454 | 2.24 | 0.487 | 2.80 | 0.497 |
| 0.01 | 0.004 | 0.57 | 0.216 | 1.13 | 0.371 | 1.69 | 0.454 | 2.25 | 0.488 | 2.81 | 0.498 |
| 0.02 | 0.008 | 0.58 | 0.219 | 1.14 | 0.373 | 1.70 | 0.456 | 2.26 | 0.489 | 2.82 | 0.498 |
| 0.03 | 0.012 | 0.59 | 0.222 | 1.15 | 0.375 | 1.71 | 0.457 | 2.27 | 0.489 | 2.83 | 0.498 |
| 0.04 | 0.016 | 0.60 | 0.226 | 1.16 | 0.377 | 1.72 | 0.457 | 2
Transcribed Image Text:**Area Under the Standard Normal Curve** This table provides the cumulative area under the standard normal curve for a given z-score (z). It shows the area (A) from the mean (0) to the specified z-score. This is useful for finding probabilities associated with normal distributions. The table is structured with two columns per z-score increment: - **z** - The z-score value. - **A** - The cumulative area corresponding to the z-score. For example, if you are looking for the area to the left of a z-score of 1.50, you find 1.5 under the z column and then move across to get the area as 0.4332. Here's a portion of the table for better understanding: | z | A | z | A | z | A | z | A | z | A | z | A | |------|-------|------|-------|------|-------|------|-------|------|-------|------|-------| | 0.00 | 0.000 | 0.56 | 0.212 | 1.12 | 0.369 | 1.68 | 0.454 | 2.24 | 0.487 | 2.80 | 0.497 | | 0.01 | 0.004 | 0.57 | 0.216 | 1.13 | 0.371 | 1.69 | 0.454 | 2.25 | 0.488 | 2.81 | 0.498 | | 0.02 | 0.008 | 0.58 | 0.219 | 1.14 | 0.373 | 1.70 | 0.456 | 2.26 | 0.489 | 2.82 | 0.498 | | 0.03 | 0.012 | 0.59 | 0.222 | 1.15 | 0.375 | 1.71 | 0.457 | 2.27 | 0.489 | 2.83 | 0.498 | | 0.04 | 0.016 | 0.60 | 0.226 | 1.16 | 0.377 | 1.72 | 0.457 | 2
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