Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow The theor accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour) Click the icon to view the data sets. a) Draw side-by-side boxplots of each data set. Does there appear to be a difference in the speeds? Are there any outliers? Choose the correct box plot below. OA. 6 On- Off- 15 30 45 60 MPH Q e there any outliers? Q oes there appear to be a difference in the speeds? A. Yes, the Meters On data appear to have higher speeds. OB. No, the box plots do not show any difference in speeds. OC. Yes, the Meters Off data appear to have higher speeds. OA. Yes, there appears to be a high outlier in the Meters Off data. B. Yes, there appears to be a low outlier in the Meters On data. OB. 6 Off- On- 15 30 MPH 45 60 Q KIXE E Speed data (in MPH) Ramp Meters On 28 48 55 38 30 24 44 45 34 56 51 41 no O C. FO Off On- Ramp Meters Off Full Data Set 23 26 41 35 36 30 47 37 19 30 22 41 41 ó 15 30 45 60 MPH - X

MATLAB: An Introduction with Applications
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C) Yes, there appears to be a high outlier in the Meters On data

D) No, there does not appear to be any outliers

**Ramp Metering and Traffic Flow Analysis**

Ramp metering is a traffic engineering technique designed to manage the flow of cars onto freeways. It requires vehicles to stop briefly before merging, aiming to create smoother traffic conditions and ultimately reduce travel times. This study investigates whether ramp metering effectively decreases travel times by analyzing vehicle speeds.

**Experiment Overview**

- A random sample of 15 cars was taken at 6 p.m. on a Monday under two conditions:
  1. With ramp meters on.
  2. With ramp meters off.
- The main variable studied was vehicle speed, measured in miles per hour (MPH).

**Speed Data (in MPH)**

| Ramp Meters On | Ramp Meters Off |
|----------------|-----------------|
| 28             | 33              |
| 35             | 26              |
| 34             | 41              |
| 40             | 35              |
| 30             | 40              |
| 33             | 35              |
| 46             | 32              |
| 37             | 34              |
| 41             | 37              |
| 35             | 39              |
| 42             | 34              |
| 30             | 43              |
| 36             | 49              |
| 43             | 41              |
| 39             | 37              |

**Analysis Tasks**

(a) **Boxplot Comparison**

- **Objective:** Determine if there's a noticeable difference in speeds between the two conditions and identify any outliers.
- **Options:**
  - **A**: Boxplot shows "On" has higher speeds than "Off."
  - **B**: Boxplots show no speed difference.
  - **C**: Boxplot shows "Off" has higher speeds than "On."

- **Questions:**
  - **Speed Difference?**
    - A: Yes, "On" has higher speeds.
    - B: No difference in speeds.
    - C: Yes, "Off" has higher speeds.
  - **Outliers?**
    - A: High outlier for "Off."
    - B: Low outlier for "On."

**Results & Conclusions**

Participants are instructed to analyze side-by-side boxplots for each data set to answer the questions regarding speed difference and presence of outliers. They should choose the correct boxplot type (A, B, or C
Transcribed Image Text:**Ramp Metering and Traffic Flow Analysis** Ramp metering is a traffic engineering technique designed to manage the flow of cars onto freeways. It requires vehicles to stop briefly before merging, aiming to create smoother traffic conditions and ultimately reduce travel times. This study investigates whether ramp metering effectively decreases travel times by analyzing vehicle speeds. **Experiment Overview** - A random sample of 15 cars was taken at 6 p.m. on a Monday under two conditions: 1. With ramp meters on. 2. With ramp meters off. - The main variable studied was vehicle speed, measured in miles per hour (MPH). **Speed Data (in MPH)** | Ramp Meters On | Ramp Meters Off | |----------------|-----------------| | 28 | 33 | | 35 | 26 | | 34 | 41 | | 40 | 35 | | 30 | 40 | | 33 | 35 | | 46 | 32 | | 37 | 34 | | 41 | 37 | | 35 | 39 | | 42 | 34 | | 30 | 43 | | 36 | 49 | | 43 | 41 | | 39 | 37 | **Analysis Tasks** (a) **Boxplot Comparison** - **Objective:** Determine if there's a noticeable difference in speeds between the two conditions and identify any outliers. - **Options:** - **A**: Boxplot shows "On" has higher speeds than "Off." - **B**: Boxplots show no speed difference. - **C**: Boxplot shows "Off" has higher speeds than "On." - **Questions:** - **Speed Difference?** - A: Yes, "On" has higher speeds. - B: No difference in speeds. - C: Yes, "Off" has higher speeds. - **Outliers?** - A: High outlier for "Off." - B: Low outlier for "On." **Results & Conclusions** Participants are instructed to analyze side-by-side boxplots for each data set to answer the questions regarding speed difference and presence of outliers. They should choose the correct boxplot type (A, B, or C
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