Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 8.2, Problem 8P

Basic Computation: P-value Corresponding to t Value For a Student’s t distribution with d.f. = 16 and t = −1.830,

(a) find an interval containing the corresponding P-value for a two-tailed test.
(b) find an interval containing the corresponding P-value for a left-tailed test.

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Chapter 8.2, Problem 7P

Chapter 8.2, Problem 9P

Chapter 8 Solutions

Understandable Statistics: Concepts and Methods

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Average Traffic Spacing The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per flour, the probability P that the headway is at least t seconds is given by P=0.87t. a. What is the limiting value of P? Explain what this means in practical terms. b. The headway h can be calculated as the quotient of the spacing f, in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v. c. If the average speed is 88 feet per second 60 miles per hour, what is the probability that the spacing between two vehicles is at least 40 feet?

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Basic Computation: P-value Corresponding to t Value For a Student’s t distribution with d . f . = 16 and t = −1.830, (a) find an interval containing the corresponding P -value for a two-tailed test. (b) find an interval containing the corresponding P -value for a left-tailed test.

Solution Summary: The author explains how to obtain the P -value for a two-tailed test using the Appendix II: Tables, Table 6: Critical Values for Student’s t Distribution.

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