The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 20. Convert the given results into z-scores, and then use the table below to find the percentage of people with readings between 159 and 179. 1.0 1.2 1.5 1.6 1.3 90.32 2.4 1.4 1.7 1.8 1.9 z-score Percentile z-score Percentile 1.1 2.0 88.49 2.3 84.13 86.43 91.92 93.32 94.52 95.54 96.41 97.13 97.72 2.1 2.2 2.5 2.6 2.7 2.8 2.9 3.0 3.5 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 The percentage of people with readings between 159 and 179 is %. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 20. Convert the given results into z-scores, and then use the table below to find the percentage of people with readings between 159 and 179. 1.0 1.2 1.5 1.6 1.3 90.32 2.4 1.4 1.7 1.8 1.9 z-score Percentile z-score Percentile 1.1 2.0 88.49 2.3 84.13 86.43 91.92 93.32 94.52 95.54 96.41 97.13 97.72 2.1 2.2 2.5 2.6 2.7 2.8 2.9 3.0 3.5 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 The percentage of people with readings between 159 and 179 is %. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
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![The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 20. Convert the given results into z-scores, and then use the table below to find the percentage of people with readings between 159 and 179.
| z-score | 1.0 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 | 2.0 |
|---------|------|------|------|------|------|------|------|------|------|------|------|
| Percentile | 84.13 | 86.43 | 88.49 | 90.32 | 91.92 | 93.32 | 94.52 | 95.54 | 96.41 | 97.13 | 97.72 |
| z-score | 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.6 | 2.7 | 2.8 | 2.9 | 3.0 | 3.5 |
|---------|------|------|------|------|------|------|------|------|------|------|------|
| Percentile | 98.21 | 98.61 | 98.93 | 99.18 | 99.38 | 99.53 | 99.65 | 99.74 | 99.81 | 99.87 | 99.98 |
The percentage of people with readings between 159 and 179 is [ ]%.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
**Explanation:**
The table provided lists z-scores and their corresponding percentiles in a normal distribution. To find the percentage of people with readings between 159 and 179, you must first convert these readings into their respective z-scores:
1. Use the formula for the z-score:
\[
z = \frac{(X - \mu)}{\sigma}
\]
where \( X \) is the raw score, \( \mu \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb035bd8-242a-4bd8-91c3-9303fe022dfd%2Fe604dd77-77d6-4890-b5f5-5aca69976f21%2Fyafhz4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 20. Convert the given results into z-scores, and then use the table below to find the percentage of people with readings between 159 and 179.
| z-score | 1.0 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 | 2.0 |
|---------|------|------|------|------|------|------|------|------|------|------|------|
| Percentile | 84.13 | 86.43 | 88.49 | 90.32 | 91.92 | 93.32 | 94.52 | 95.54 | 96.41 | 97.13 | 97.72 |
| z-score | 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.6 | 2.7 | 2.8 | 2.9 | 3.0 | 3.5 |
|---------|------|------|------|------|------|------|------|------|------|------|------|
| Percentile | 98.21 | 98.61 | 98.93 | 99.18 | 99.38 | 99.53 | 99.65 | 99.74 | 99.81 | 99.87 | 99.98 |
The percentage of people with readings between 159 and 179 is [ ]%.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
**Explanation:**
The table provided lists z-scores and their corresponding percentiles in a normal distribution. To find the percentage of people with readings between 159 and 179, you must first convert these readings into their respective z-scores:
1. Use the formula for the z-score:
\[
z = \frac{(X - \mu)}{\sigma}
\]
where \( X \) is the raw score, \( \mu \)
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