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A recent survey identified the top accounting firms within 10 geographical regions across country X. The top 2 regions reported a combined growth of 19% and 18%. A characteristic description of the accounting firms in these two regions included the number of partners in the firms. Attached below is a sample of the number of partners for 20 firms for each region. Complete (a) through (c) below. Click the icon to view the accounting firms data. a. At the 0.05 level of significance when pooling the variances, is there evidence of a difference between the two regions' accounting firms with respect to the mean number of partners? Let μ be the mean number of partners for the highest growth region and H₂ be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below. OA. Ho: H1 H2 H₁: H₁>H₂ OC. Ho: H₁ #H2 H₁: H₁ =H2 Determine the test statistic. STAT (Round to two decimal places as needed.) Determine the critical value(s). ☐ (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. OA. Reject Ho. There is sufficient evidence that the means differ. OB. Do not reject Ho. There is sufficient evidence that the means differ. OC. Reject Ho. There is insufficient evidence that the means differ. OD. Do not reject Ho. There is insufficient evidence that the means differ. B. Ho: H₁2H2 H₁₁

A recent survey identified the top accounting firms within 10 geographical regions across country X. The top 2 regions reported a combined growth of 19% and 18%. A characteristic description of the accounting firms in these two regions included the number of partners in the firms. Attached below is a sample of the number of partners for 20 firms for each region. Complete (a) through (c) below. Click the icon to view the accounting firms data. a. At the 0.05 level of significance when pooling the variances, is there evidence of a difference between the two regions' accounting firms with respect to the mean number of partners? Let μ be the mean number of partners for the highest growth region and H₂ be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below. OA. Ho: H1 H2 H₁: H₁>H₂ OC. Ho: H₁ #H2 H₁: H₁ =H2 Determine the test statistic. STAT (Round to two decimal places as needed.) Determine the critical value(s). ☐ (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. OA. Reject Ho. There is sufficient evidence that the means differ. OB. Do not reject Ho. There is sufficient evidence that the means differ. OC. Reject Ho. There is insufficient evidence that the means differ. OD. Do not reject Ho. There is insufficient evidence that the means differ. B. Ho: H₁2H2 H₁₁

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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A recent survey identified the top accounting firms within 10 geographical regions across country X. The top 2 regions reported a combined growth of 19% and 18%. A characteristic description of the accounting firms in these two regions included the number of partners in the firms. Attached below is a sample of the number of partners for 20 firms for each region. Complete (a) through (c) below. Click the icon to view the accounting firms data. a. At the 0.05 level of significance when pooling the variances, is there evidence of a difference between the two regions' accounting firms with respect to the mean number of partners? Let μ be the mean number of partners for the highest growth region and H₂ be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below. OA. Ho: H1 H2 H₁: H₁>H₂ OC. Ho: H₁ #H2 H₁: H₁ =H2 Determine the test statistic. STAT (Round to two decimal places as needed.) Determine the critical value(s). ☐ (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. OA. Reject Ho. There is sufficient evidence that the means differ. OB. Do not reject Ho. There is sufficient evidence that the means differ. OC. Reject Ho. There is insufficient evidence that the means differ. OD. Do not reject Ho. There is insufficient evidence that the means differ. B. Ho: H₁2H2 H₁₁ <H2 OD. Ho: H1 H2 H₁₁ #H₂ Accounting Firms Data Number of partners for 20 firms in the region with the highest combined growth 76 109 28 28 41 18 28 22 28 14 8 7 8 10 21 33 17 15 22 14 Number of partners for 20 firms in the region with the second highest combined growth 176 43 26 275 48 80 200 39 11 13 37 26 39 29 24 27 27 18 30 19 17 26 26 -X
Transcribed Image Text:A recent survey identified the top accounting firms within 10 geographical regions across country X. The top 2 regions reported a combined growth of 19% and 18%. A characteristic description of the accounting firms in these two regions included the number of partners in the firms. Attached below is a sample of the number of partners for 20 firms for each region. Complete (a) through (c) below. Click the icon to view the accounting firms data. a. At the 0.05 level of significance when pooling the variances, is there evidence of a difference between the two regions' accounting firms with respect to the mean number of partners? Let μ be the mean number of partners for the highest growth region and H₂ be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below. OA. Ho: H1 H2 H₁: H₁>H₂ OC. Ho: H₁ #H2 H₁: H₁ =H2 Determine the test statistic. STAT (Round to two decimal places as needed.) Determine the critical value(s). ☐ (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the correct conclusion below. OA. Reject Ho. There is sufficient evidence that the means differ. OB. Do not reject Ho. There is sufficient evidence that the means differ. OC. Reject Ho. There is insufficient evidence that the means differ. OD. Do not reject Ho. There is insufficient evidence that the means differ. B. Ho: H₁2H2 H₁₁ <H2 OD. Ho: H1 H2 H₁₁ #H₂ Accounting Firms Data Number of partners for 20 firms in the region with the highest combined growth 76 109 28 28 41 18 28 22 28 14 8 7 8 10 21 33 17 15 22 14 Number of partners for 20 firms in the region with the second highest combined growth 176 43 26 275 48 80 200 39 11 13 37 26 39 29 24 27 27 18 30 19 17 26 26 -X
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