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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
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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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