Heights of WOMEN in the U.S. are normally distributed. Recent information shows: Adult women height: µ = 63.8 inches with σ = 2.8 inches. In a group of 150 U.S. women, approximately ________ women should be shorter than 63 inches?
Heights of WOMEN in the U.S. are normally distributed. Recent information shows: Adult women height: µ = 63.8 inches with σ = 2.8 inches. In a group of 150 U.S. women, approximately ________ women should be shorter than 63 inches?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 27SGR
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Question
Heights of WOMEN in the U.S. are
Adult women height: µ = 63.8 inches with σ = 2.8 inches.
- In a group of 150 U.S. women, approximately ________ women should be shorter than 63 inches?
![**Sample of RCCC Women’s Heights – Spring 2022**
This table presents a statistical sample of the heights of women from RCCC (assumed to be a college or organization), collected during the Spring 2022 semester. Presented heights are in inches and the corresponding frequency (number of women) for each height is listed alongside.
| **Height (in inches)** | **Frequency** |
|-----------------|------------|
| 61 | 4 |
| 62 | 8 |
| 63 | 7 |
| 64 | 7 |
| 65 | 12 |
| 66 | 3 |
| 67 | 7 |
| 68 | 2 |
| 69 | 0 |
| 70 | 1 |
| 71 | 0 |
| 72 | 1 |
### Explanation:
- The height range covered in the sample is from 61 inches to 72 inches.
- The most frequent height recorded is 65 inches, exhibited by 12 women.
- Heights 69 inches and 71 inches have no individuals, indicating no women in the sample were of those heights.
- The distribution of heights shows a relatively normal distribution with a peak around 65 inches.
- This data can be used to understand the general height distribution among the sample population, aiding in further statistical analysis such as mean, median, mode, and standard deviation calculations.
### Note:
This table can be useful for educational purposes such as teaching students about data collection, frequency distribution, and basic statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F953bc6e7-2b8b-41a7-b178-3145ae122c3d%2F6454529f-3a5c-4ae8-9336-b1c22fe3bf41%2Frn8ig6s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Sample of RCCC Women’s Heights – Spring 2022**
This table presents a statistical sample of the heights of women from RCCC (assumed to be a college or organization), collected during the Spring 2022 semester. Presented heights are in inches and the corresponding frequency (number of women) for each height is listed alongside.
| **Height (in inches)** | **Frequency** |
|-----------------|------------|
| 61 | 4 |
| 62 | 8 |
| 63 | 7 |
| 64 | 7 |
| 65 | 12 |
| 66 | 3 |
| 67 | 7 |
| 68 | 2 |
| 69 | 0 |
| 70 | 1 |
| 71 | 0 |
| 72 | 1 |
### Explanation:
- The height range covered in the sample is from 61 inches to 72 inches.
- The most frequent height recorded is 65 inches, exhibited by 12 women.
- Heights 69 inches and 71 inches have no individuals, indicating no women in the sample were of those heights.
- The distribution of heights shows a relatively normal distribution with a peak around 65 inches.
- This data can be used to understand the general height distribution among the sample population, aiding in further statistical analysis such as mean, median, mode, and standard deviation calculations.
### Note:
This table can be useful for educational purposes such as teaching students about data collection, frequency distribution, and basic statistical analysis.
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