Construct and Interpret Confidence Intervals for the Difference Between Two $98 \%$

question 21

Multiple Choice

Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions
-Construct a $98 \%$ confidence interval for $\mathrm { P } _ { 1 } - \mathrm { p } _ { 2 }$ . The sample statistics listed below are from independent samples.
Sample statistics: $\mathrm { n } _ { 1 } = 1000 , \mathrm { x } _ { 1 } = 250$ , and $\mathrm { n } _ { 2 } = 1200 , \mathrm { x } _ { 2 } = 195$

• A) \(( 0.047,0.128 )\)
• B) \(( - 0.621,0.781 )\)
• C) \(( 0.581,1.819 )\)
• D) \(( 1.516,3.021 )\)

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Definitions:

Backlog Costs

Expenses associated with delays in order fulfillment, including storage, labor, and potential sales loss costs, when demand exceeds production capacity.

Linear Programming

A mathematical method used to determine the best possible outcome or solution from a given set of parameters or requirements, subject to certain constraints.

Aggregate Plan

An operational activity that involves translating annual and quarterly business plans into broad labor and output plans for the intermediate term of 3 to 18 months.

Material Cost

The total cost associated with the raw materials and components used in manufacturing a product.