MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Can you please solve E through G.

**Title: Analysis of Car Occupancy on a Freeway During Morning Commute**

**Introduction:**
A study was conducted with a sample of 100 cars driving on a freeway during a morning commute. The number of occupants in each car was recorded, and the following data was collected:

**Data Summary:**

| Occupants | 1  | 2  | 3  | 4 | 5 |
|-----------|----|----|----|---|---|
| Number of Cars | 70 | 15 | 10 | 3 | 2 |

**Tasks:**

a. **Sample Mean Calculation:**
   - Calculate the sample mean number of occupants.

b. **Sample Standard Deviation Calculation:**
   - Determine the sample standard deviation of the number of occupants.

c. **Sample Median Calculation:**
   - Find the sample median number of occupants.

d. **Quartile Calculation:**
   - Compute the first and third quartiles of the number of occupants.

e. **Proportion Greater than Mean:**
   - Identify the proportion of cars that had more than the mean number of occupants.

f. **Proportion More Than One Standard Deviation Above Mean:**
   - Determine the proportion of cars where the number of occupants was more than one standard deviation greater than the mean.

g. **Proportion Within One Standard Deviation of Mean:**
   - Calculate the proportion of cars where the number of occupants was within one standard deviation of the mean.

**Conclusion:**
This analysis provides detailed insights into the distribution of car occupancy during a morning commute, which can be useful for traffic planning and understanding commuter patterns.
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Transcribed Image Text:**Title: Analysis of Car Occupancy on a Freeway During Morning Commute** **Introduction:** A study was conducted with a sample of 100 cars driving on a freeway during a morning commute. The number of occupants in each car was recorded, and the following data was collected: **Data Summary:** | Occupants | 1 | 2 | 3 | 4 | 5 | |-----------|----|----|----|---|---| | Number of Cars | 70 | 15 | 10 | 3 | 2 | **Tasks:** a. **Sample Mean Calculation:** - Calculate the sample mean number of occupants. b. **Sample Standard Deviation Calculation:** - Determine the sample standard deviation of the number of occupants. c. **Sample Median Calculation:** - Find the sample median number of occupants. d. **Quartile Calculation:** - Compute the first and third quartiles of the number of occupants. e. **Proportion Greater than Mean:** - Identify the proportion of cars that had more than the mean number of occupants. f. **Proportion More Than One Standard Deviation Above Mean:** - Determine the proportion of cars where the number of occupants was more than one standard deviation greater than the mean. g. **Proportion Within One Standard Deviation of Mean:** - Calculate the proportion of cars where the number of occupants was within one standard deviation of the mean. **Conclusion:** This analysis provides detailed insights into the distribution of car occupancy during a morning commute, which can be useful for traffic planning and understanding commuter patterns.
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