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 2020 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) Find the p-value.

c) What assumptions do you have to make about the two populations in order to justify the use of the t test?

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Number of partners for 20 firms in the region with the highest combined growth 98 68 77 38 50 37 10 41 15 22 74 Number of partners for 20 firms in the region with the second highest combined growth 89 66 23 24 52 11 27 45 33 152 74 61 60 61 23 61 17 87 47 41 35 34 32 70 22 13 19 42 49 Number of partners for 20 firms in the region with the highest combined growth 98 68 77 38 50 37 10 41 15 22 74 Number of partners for 20 firms in the region with the second highest combined growth 89 66 23 24 52 11 27 45 33 152 74 61 60 61 23 61 17 87 47 41 35 34 32 70 22 13 19 42 49