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Use the Data Shown Below to Answer the Following Question(s)

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Use the data shown below to answer the following question(s).
Suppose that an unincorporated township wishes to find the best locations for emergency rooms.Assume that the township is divided into smaller layouts and that transportation studies have estimated the response time for emergency vehicles to travel between each pair of layouts.The township wants to locate the emergency rooms so that all layouts can be reached within a 9-minute response time.
The table below shows the estimated response time in minutes between each pair of layouts: Use the data shown below to answer the following question(s). Suppose that an unincorporated township wishes to find the best locations for emergency rooms.Assume that the township is divided into smaller layouts and that transportation studies have estimated the response time for emergency vehicles to travel between each pair of layouts.The township wants to locate the emergency rooms so that all layouts can be reached within a 9-minute response time. The table below shows the estimated response time in minutes between each pair of layouts:   Define X<sub>j</sub> = 1 if an emergency room is located in layout j,and 0 if not. -What are Lagrange multipliers? Define Xj = 1 if an emergency room is located in layout j,and 0 if not.
-What are Lagrange multipliers?

Calculate and interpret test statistics and p-values in the context of comparing population proportions and variances.
Identify the appropriate statistical techniques for comparing population means and proportions.
Grasp the statistical basis for pooling proportions when constructing confidence intervals or conducting hypothesis tests.
Understand the relationship between sample proportions and their corresponding population proportions.

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