Help finding:(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 theα=0.05level of significance? Let μ1represent the mean speed of people departing andμ2represent 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.

Given Data : For Sample 1 x̄1 = 261.0 s1 = 51.0 n1 = 35 For Sample 2…

Answered: Is this an observational study or a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Help finding:

(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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution