Explanation Given info: The data shows the numbers of wildland fires (in thousands) ( x ) and wildland acres burned (in millions) ( y ) values. The level of significance is α = 0.05 and the sample size is 8. Calculation: The hypotheses are given below: Null hypothesis: H 0 : There is no linear correlation between the numbers of wildland fires and the number of wildland acres burned. Alternative hypothesis: H 1 : There is a linear correlation between the numbers of wildland fires and the number of wildland acres burned. From review exercise 2, it is observed that the linear correlation between the numbers of wildland fires and wildland acres burned is 0.305. Critical value: The degrees of freedom ( n ) is 8. From the TABLE A-11 “Critical Values of the Pearson Correlation Coefficient r ”, the critical value for 8 degrees of freedom and α = 0

Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 9, Problem 9.1.6RE

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To test: Whether there is enough evidence to conclude that there is a linear correlation between the numbers of wildland fires and the number of wildland acres burned or not.

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Chapter 9, Problem 9.1.5RE

Chapter 9, Problem 9.1.7RE

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Elementary Statistics: Picturing the World (7th Edition)

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To test: Whether there is enough evidence to conclude that there is a linear correlation between the numbers of wildland fires and the number of wildland acres burned or not.

Solution Summary: The author evaluates whether there is a linear correlation between the numbers of fires and the number of wildland acres burned.

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To test: Whether there is enough evidence to conclude that there is a linear correlation between the numbers of wildland fires and the number of wildland acres burned or not.

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