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. Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in twoInternational Airports. His findings are summarized in the table. Complete parts (a)-(c) below.Click the icon to view the findings.(a) Is this an observational study or a designed experiment? Why?A. This is an observational study since the researcher did not influence the data.B. This is a designed experiment since the researcher influenced the data.C. This is an observational study since the researcher influenced the data.D. This is a designed experiment since the researcher did not influence the data.Walking speedDirection of TravelDepartureArrivalMean speed(feet per minute)Standard deviation2612705135(feet per minute)Sample size3535PrintDone

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

Answered: Is this an observational study or a…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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.

Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two
International Airports. His findings are summarized in the table. Complete parts (a)-(c) below.
Click the icon to view the findings.
(a) Is this an observational study or a designed experiment? Why?
A. This is an observational study since the researcher did not influence the data.
B. This is a designed experiment since the researcher influenced the data.
C. This is an observational study since the researcher influenced the data.
D. This is a designed experiment since the researcher did not influence the data.
Walking speed
Direction of Travel
Departure
Arrival
Mean speed
(feet per minute)
Standard deviation
261
270
51
35
(feet per minute)
Sample size
35
35
Print
Done

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 + ...

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