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. 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? b. Determine the test statistic. c. Determine the critical​ value(s) and p-value

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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.
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?

b. Determine the test statistic.

c. Determine the critical​ value(s) and p-value

1 Accounting Firms Data
Number of partners for 20 firms in the region with the highest
combined growth
83 101
28 28 39 19 27 23 27
14
8 7
8
12 22
23
14
15
30
12
Number of partners for 20 firms in the region with the second
highest combined growth
174
43
25
51
39
10
25
36
34
25
29
21 17
34
34
19
35
22
33
19
Print
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Transcribed Image Text:1 Accounting Firms Data Number of partners for 20 firms in the region with the highest combined growth 83 101 28 28 39 19 27 23 27 14 8 7 8 12 22 23 14 15 30 12 Number of partners for 20 firms in the region with the second highest combined growth 174 43 25 51 39 10 25 36 34 25 29 21 17 34 34 19 35 22 33 19 Print Done
Expert Solution
Step 1

Given,

Highest combined growth(X) Second highest growth(Y)
83 174
101 43
28 25
28 51
39 39
19 10
27 25
23 36
27 34
14 25
8 29
7 21
8 17
12 34
22 34
23 19
14 35
15 22
30 33
12 19
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ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning