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Accounting Today identified top accounting firms in 10 geographic regions across the United States. All 10 regions reported growth in a recent year. The Southeast and Gulf Coast regions reported growths of 12.49% and 9.78%, respectively. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. The file [Accounting Partners 2] contains the number of partners. Source: Data extracted from Accounting Today, "The 2019 Top Firms and Regional Leaders," available at bit.ly/2XdQVVW. Number of Partners Region Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast 235 138 77 61 61 46 50 38 36 52 21 13 13 26 19 14 18 19 16 12 14 12 296 112 77 39 14 53 14 35 30 34 39 12 17 15 20 13 15 11 9 25 9 9 a. At the 0.05 level of significance, is there evidence of a difference in the variability in numbers of partners for Southeast region accounting firms and Gulf Coast accounting firms? b. Determine the p-value in (a) and interpret its meaning. c. What assumption do you have to make about the two populations in order to justify the use of the F test?

Accounting Today identified top accounting firms in 10 geographic regions across the United States. All 10 regions reported growth in a recent year. The Southeast and Gulf Coast regions reported growths of 12.49% and 9.78%, respectively. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. The file [Accounting Partners 2] contains the number of partners. Source: Data extracted from Accounting Today, "The 2019 Top Firms and Regional Leaders," available at bit.ly/2XdQVVW. Number of Partners Region Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast 235 138 77 61 61 46 50 38 36 52 21 13 13 26 19 14 18 19 16 12 14 12 296 112 77 39 14 53 14 35 30 34 39 12 17 15 20 13 15 11 9 25 9 9 a. At the 0.05 level of significance, is there evidence of a difference in the variability in numbers of partners for Southeast region accounting firms and Gulf Coast accounting firms? b. Determine the p-value in (a) and interpret its meaning. c. What assumption do you have to make about the two populations in order to justify the use of the F test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Accounting Today identified top accounting firms in 10 geographic regions across the United States. All 10 regions reported growth in a recent year. The Southeast and Gulf Coast regions reported growths of 12.49% and 9.78%, respectively. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. The file [Accounting Partners 2] contains the number of partners. Source: Data extracted from Accounting Today, "The 2019 Top Firms and Regional Leaders," available at bit.ly/2XdQVVW. Number of Partners Region Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast 235 138 77 61 61 46 50 38 36 52 21 13 13 26 19 14 18 19 16 12 14 12 296 112 77 39 14 53 14 35 30 34 39 12 17 15 20 13 15 11 9 25 9 9 a. At the 0.05 level of significance, is there evidence of a difference in the variability in numbers of partners for Southeast region accounting firms and Gulf Coast accounting firms? b. Determine the p-value in (a) and interpret its meaning. c. What assumption do you have to make about the two populations in order to justify the use of the F test?
Transcribed Image Text:Accounting Today identified top accounting firms in 10 geographic regions across the United States. All 10 regions reported growth in a recent year. The Southeast and Gulf Coast regions reported growths of 12.49% and 9.78%, respectively. A characteristic description of the accounting firms in the Southeast and Gulf Coast regions included the number of partners in the firm. The file [Accounting Partners 2] contains the number of partners. Source: Data extracted from Accounting Today, "The 2019 Top Firms and Regional Leaders," available at bit.ly/2XdQVVW. Number of Partners Region Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Southeast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast Gulf Coast 235 138 77 61 61 46 50 38 36 52 21 13 13 26 19 14 18 19 16 12 14 12 296 112 77 39 14 53 14 35 30 34 39 12 17 15 20 13 15 11 9 25 9 9 a. At the 0.05 level of significance, is there evidence of a difference in the variability in numbers of partners for Southeast region accounting firms and Gulf Coast accounting firms? b. Determine the p-value in (a) and interpret its meaning. c. What assumption do you have to make about the two populations in order to justify the use of the F test?
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