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In: Statistics and Probability

A recent survey identified the top accounting firms within 10 geographical regions across country X. The...

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? Let mu 1μ1 be the mean number of partners for the highest growth region and mu 2μ2 be the mean number of partners for the second highest growth region. Determine the hypotheses. Choose the correct answer below.

t Stat

Determine the critical​ value(s)

Choose the correct conclusion below.

Find the​ p-value in​ (a) and interpret its meaning.

Which of the following is the correct interpretation of 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?

Number of partners for 20 firms in the region with the highest combined growth 70 103 25 25 35 21 31 28 31 11 88 66 88 10 21 22 21 16 23 11

Number of partners for 20 firms in the region with the second highest combined growth 166 45 31 47 36 11 31 41 31 24 32 20 14 32 32 18 41 28 26 17

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orchestra answered 2 years ago
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