Is this an observational study or a designed​ experiment? Why? (b) Explain why it is reasonable to use​ Welch's t-test. ​(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the α=0.05 level of​ significance? Let μ1 represent the mean speed of people departing and μ2 represent the mean

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  • (a) Is this an observational study or a designed​ experiment? Why?
  • (b) Explain why it is reasonable to use​ Welch's t-test.
  • ​(c) Do individuals walk at different speeds depending on whether they are departing or arriving at the
    α=0.05
    level of​ significance? Let μ1
    represent the mean speed of people departing and
    μ2
    represent the mean speed of people arriving.
**Title: Understanding the Study of Walking Speed in Airports**

**Introduction:**

This educational resource examines whether people walk faster in airports when they are departing (getting on a plane) or arriving (getting off a plane). A reputable researcher conducted this study, measuring the walking speed of random travelers in two international airports. The findings are summarized in the accompanying table. We will explore and analyze these findings while answering related questions.

**Study Design:**

**Question (a): Is this an observational study or a designed experiment? Why?**

- **Option A**: This is an observational study since the researcher did not influence the data.
- **Option B**: This is a designed experiment since the researcher influenced the data.
- **Option C**: This is an observational study since the researcher influenced the data.
- **Option D**: This is a designed experiment since the researcher did not influence the data.

**Data Summary:**

A table titled "Walking speed" presents the following data:

- **Direction of Travel:**

   1. **Departure:**
      - Mean speed: 261 feet per minute
      - Standard deviation: 51 feet per minute
      - Sample size: 35

   2. **Arrival:**
      - Mean speed: 270 feet per minute
      - Standard deviation: 35 feet per minute
      - Sample size: 35

**Analysis and Explanation:**

The data suggests that travelers, on average, walk faster when arriving at the airport compared to when they are departing. The lower standard deviation for arrivals indicates less variability in walking speeds compared to departures.

**Conclusion:**

After reviewing the study design options and data, consider whether the researcher's approach aligns with observational study characteristics or those of a designed experiment. Reflect on how data was collected and whether any variables were manipulated by the researcher.
Transcribed Image Text:**Title: Understanding the Study of Walking Speed in Airports** **Introduction:** This educational resource examines whether people walk faster in airports when they are departing (getting on a plane) or arriving (getting off a plane). A reputable researcher conducted this study, measuring the walking speed of random travelers in two international airports. The findings are summarized in the accompanying table. We will explore and analyze these findings while answering related questions. **Study Design:** **Question (a): Is this an observational study or a designed experiment? Why?** - **Option A**: This is an observational study since the researcher did not influence the data. - **Option B**: This is a designed experiment since the researcher influenced the data. - **Option C**: This is an observational study since the researcher influenced the data. - **Option D**: This is a designed experiment since the researcher did not influence the data. **Data Summary:** A table titled "Walking speed" presents the following data: - **Direction of Travel:** 1. **Departure:** - Mean speed: 261 feet per minute - Standard deviation: 51 feet per minute - Sample size: 35 2. **Arrival:** - Mean speed: 270 feet per minute - Standard deviation: 35 feet per minute - Sample size: 35 **Analysis and Explanation:** The data suggests that travelers, on average, walk faster when arriving at the airport compared to when they are departing. The lower standard deviation for arrivals indicates less variability in walking speeds compared to departures. **Conclusion:** After reviewing the study design options and data, consider whether the researcher's approach aligns with observational study characteristics or those of a designed experiment. Reflect on how data was collected and whether any variables were manipulated by the researcher.
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