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.
Accounting firms Data
Number of partners for 20 firms in the region with the highest combined growth
73 104 25 25 35 22 33 24 33 10
8 7 8 12 23 24 22 25 24 11
Number of partners for 20 firms in the region with the second highest combined growth
170 42 34 55 44 10 34 40 26 22
29 17 11 35 35 12 34 23 34 15
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?
Determine the test statistic
tSTAT=
?(Round to two decimal places.)
The critical values are ±
The? p-value is =
What assumptions do you have to make about the two populations in order to justify the use of the t? test?