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. From the given frequency distribution, we see that _____ of the 52 women in our RCCC sample were taller than 67 inches, which would be approximately _____ % (0 decimal places). This is __________ percentage points _______________ (above or below) that of the U.S. population. ### Sample of RCCC Women's Heights – Spring 2022This table represents a sample of heights for women at RCCC for the Spring 2022 semester. The heights are measured in inches, and the frequency represents the number of women at each height.| 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:- **Height (in inches):** This column lists various heights measured in inches.- **Frequency:** This column indicates how many women in the sample have a corresponding height.From the table, we observe that:- The most common height is 65 inches, with a frequency of 12 women.- Heights of 69 and 71 inches are not present in this sample.- The least common heights, each with a frequency of 1, are 70 and 72 inches.This data can be useful for statistical analysis and understanding the distribution of women's heights within this specific population.

Solution-: Given: μ=63.8, σ=2.8 We have given frequency distribution table: Sample of RCCC…

Answered: Heights of WOMEN in the U.S. are…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

From the given frequency distribution, we see that _____ of the 52 women in our RCCC sample were taller than 67 inches, which would be approximately _____ % (0 decimal places). This is __________ percentage points _______________ (above or below) that of the U.S. population.

### Sample of RCCC Women's Heights – Spring 2022

This table represents a sample of heights for women at RCCC for the Spring 2022 semester. The heights are measured in inches, and the frequency represents the number of women at each height.

| 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:
- **Height (in inches):** This column lists various heights measured in inches.
- **Frequency:** This column indicates how many women in the sample have a corresponding height.

From the table, we observe that:

- The most common height is 65 inches, with a frequency of 12 women.
- Heights of 69 and 71 inches are not present in this sample.
- The least common heights, each with a frequency of 1, are 70 and 72 inches.

This data can be useful for statistical analysis and understanding the distribution of women's heights within this specific population.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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