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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Walking in the Airport, Part II Do business travelers walk

Chapter 11, Problem 10AYU

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QUESTION:

Problem 10AYU

Problem

Walking in the Airport, Part II Do business travelers walk at a different pace than leisure travelers? Researcher Seth B. Young measured the walking speed of business and leisure travelers in San Francisco International Airport and Cleveland Hopkins International Airport. His findings are summarized in the table.

Type of Traveler

Business

Leisure

Mean speed (feet per minute)

272

261

Standard deviation (feet per minute)

43

47

Sample size

20

20

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

(b) What must be true regarding the populations to use Welch’s t-test to compare the means?

(c) Assuming that the requirements listed in part (b) are satisfied, determine whether business travelers walk at a different speed from leisure travelers at the α = 0.05 level of significance.

Questions & Answers

QUESTION:

Problem 10AYU

Problem

Walking in the Airport, Part II Do business travelers walk at a different pace than leisure travelers? Researcher Seth B. Young measured the walking speed of business and leisure travelers in San Francisco International Airport and Cleveland Hopkins International Airport. His findings are summarized in the table.

Type of Traveler

Business

Leisure

Mean speed (feet per minute)

272

261

Standard deviation (feet per minute)

43

47

Sample size

20

20

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

(b) What must be true regarding the populations to use Welch’s t-test to compare the means?

(c) Assuming that the requirements listed in part (b) are satisfied, determine whether business travelers walk at a different speed from leisure travelers at the α = 0.05 level of significance.

ANSWER:

Problem 10AYU

Answer:

Step1 of 1:

We have Researcher Seth B. Young measured the walking speed of business and leisure travelers in San Francisco International Airport and Cleveland Hopkins International Airport. His findings are summarized in the table.

Type of Traveler

Business

Leisure

Mean speed (feet per minute)

272

261

Standard deviation (feet per
 minute)

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