Introduction To Statistics And Data Analysis
Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 12.1, Problem 11E

How would you answer the following question:

Next Wednesday’s meeting has been moved forward two days. What day is the meeting now that it has been rescheduled?

This question is ambiguous as “moved forward” can be interpreted in two different ways. Did you answer Monday or Friday? The authors of the paper “Even Abstract Motion Influences the Understanding of Time” (Metaphor and Symbol [2011]: 260–271) wondered if the answers Monday and Friday would be provided an equal proportion of the time. A sample of students at Stanford University were asked this question, and the responses are summarized in the following table.

Chapter 12.1, Problem 11E, How would you answer the following question: Next Wednesdays meeting has been moved forward two

The authors of the paper used a chi-squared goodness-of-fit test to test the null hypothesis H0: p1 = 0.50, p2 = 0.50, where p1 is the proportion who would respond Monday and p2 is the proportion who would respond Friday. They reported X2 = 11.00 and P-value < 0.001. What conclusion can be drawn from this test?

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Question 9: There are three roofing companies that service a small community. Al's Roof Repair gets 45% of the roofing jobs in the community while Bob's Better Building and Carl's Roof Service get 25% and 30% of the business, respectively. Of Al's customers, 70% are satisfied. Of Bob's customers, 95% are satisfied. Among Carl's customers, 90% are satisfied. Round all answers to four decimal places. a) Create a tree diagram b) If a randomly selected customer is satisfied, what is the probability that they used Carl's Roof Service?

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