MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Hello, I need help with part e and f. I attached a photo of the data set and questions e and f. I calculated the sample mean in excel and got 60,143. For the sample standard deviation, I got 10,462.38.
Transcribed Image Text:Transcription of Image Content for an Educational Website:
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### Data Analysis: Maximum Capacity of Sports Stadiums
**e. Let the sample mean approximate μ and the sample standard deviation approximate σ.**
- The distribution of X can then be approximated by \( X \sim N(\mu, \sigma^2) \).
**f. Use the distribution in part e to calculate the probability that the maximum capacity of sports stadiums is less than 67,000 spectators.**
**g. Determine the cumulative relative frequency that the maximum capacity of sports stadiums is less than 67,000 spectators.**
- **Hint:** Order the data and count the sports stadiums that have a maximum capacity less than 67,000. Divide by the total number of sports stadiums in the sample.
**h. Why aren’t the answers to part f and part g exactly the same?**
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Note: The document is a snippet from a lesson on statistical analysis, focusing on probabilities and cumulative frequencies related to stadium capacities. There are no graphs or diagrams present in the image.
![**Data Analysis: Maximum Capacity**
**Chapter 6 Assignment**
A sample of the maximum capacity of spectators of sports stadiums is included in the table:
| 40,000 | 40,000 | 45,050 | 45,500 | 46,249 | 48,134 |
|--------|--------|--------|--------|--------|--------|
| 49,133 | 50,071 | 50,906 | 50,466 | 50,832 | 51,500 |
| 51,500 | 51,900 | 52,000 | 52,132 | 52,000 | 52,530 |
| 52,692 | 53,864 | 54,000 | 55,000 | 55,000 | 55,000 |
| 55,000 | 55,000 | 55,000 | 55,000 | 55,000 | 58,008 |
| 59,860 | 60,000 | 60,492 | 60,580 | 62,380 | 62,872 |
| 64,035 | 65,000 | 66,647 | 66,000 | 66,161 | 67,428 |
| 68,349 | 68,976 | 69,372 | 70,107 | 70,585 | 71,594 |
| 72,922 | 73,379 | 74,500 | 75,025 | 76,212 | 78,000 |
| 78,000 | 80,000 | 80,000 | 80,000 | 82,300 | |
*The table does not include horse-racing or motor-racing stadiums.*
**a. Calculate the sample mean and the sample standard deviation for the maximum capacity of sports stadiums (see data above).**
**Sample Mean:**
\[
\bar{X} = \frac{\sum_{i=1}^{n} x_{i}}{n}
\]
\[ = \frac{75,339}{78} = 73,859 \]](https://content.bartleby.com/qna-images/question/5e4abf04-5494-4b59-8e86-398eb44a6ecc/cf8bb0cc-bfcc-40b4-a3ca-000639915a97/ik9oh9g_processed.png)
Transcribed Image Text:**Data Analysis: Maximum Capacity**
**Chapter 6 Assignment**
A sample of the maximum capacity of spectators of sports stadiums is included in the table:
| 40,000 | 40,000 | 45,050 | 45,500 | 46,249 | 48,134 |
|--------|--------|--------|--------|--------|--------|
| 49,133 | 50,071 | 50,906 | 50,466 | 50,832 | 51,500 |
| 51,500 | 51,900 | 52,000 | 52,132 | 52,000 | 52,530 |
| 52,692 | 53,864 | 54,000 | 55,000 | 55,000 | 55,000 |
| 55,000 | 55,000 | 55,000 | 55,000 | 55,000 | 58,008 |
| 59,860 | 60,000 | 60,492 | 60,580 | 62,380 | 62,872 |
| 64,035 | 65,000 | 66,647 | 66,000 | 66,161 | 67,428 |
| 68,349 | 68,976 | 69,372 | 70,107 | 70,585 | 71,594 |
| 72,922 | 73,379 | 74,500 | 75,025 | 76,212 | 78,000 |
| 78,000 | 80,000 | 80,000 | 80,000 | 82,300 | |
*The table does not include horse-racing or motor-racing stadiums.*
**a. Calculate the sample mean and the sample standard deviation for the maximum capacity of sports stadiums (see data above).**
**Sample Mean:**
\[
\bar{X} = \frac{\sum_{i=1}^{n} x_{i}}{n}
\]
\[ = \frac{75,339}{78} = 73,859 \]
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