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Comparing service rates

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A financial services institution wants to compare the service rate at two of its branches.
Branch 1 was studied for 25 days and it serviced 250 clients per day on average with a standared deviation of 10. Branch 2 was studied for 20 days and it serviced 240 clients per day on average with a standard deviation of 6. Can we conclude that branch 1 serves more clients than branch 2? Use a level of significance (a) of .05.

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The Solution finds which financial services branch serves more clients.

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Hi Dear,
Please find the solution for your assignment. I hope it will help you to understand the current problem.

See the attached file for the formatted version.

Null Hypothesis (Ho): There is no significant difference in the population average client served between branch 1 and Brach 2 i.e. µ1 = µ2

Alternative Hypothesis (Ha): ...

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