(Steps Shown) The same vocational interest test was given to 50 salesmen of company A and 50 of company B, and the following results were obtained: Company A: x̄_1=73.6,


Question: The same vocational interest test was given to 50 salesmen of company \(\mathrm{A}\) and 50 of company \(\mathrm{B}\), and the following results were obtained:

Company A: \(\bar{x}_{1}=73.6\), and \(\hat{s}_{1}=10\)

Company B: \(\bar{x}_{2}=72.4\), and \(\hat{s}_{2}=8\)

Assuming independent samples, Find the \(90 \%\) interval estimate for the true difference in average points scored between the salesmen in companies \(A\) and \(B\).

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