Construct the Confidence Interval for the Difference $\mu _ { 1 } - \mu _ { 2 }$

question 36

Multiple Choice

Construct the confidence interval for the difference $\mu _ { 1 } - \mu _ { 2 }$ for the given level and values of $\bar { x } _ { 1 } , \bar { x } _ { 2 }$ , $s _ { 1 } , s _ { 2 } , n _ { 1 }$ , and $n _ { 2 }$ .
Level $90 \% , \bar { x } _ { 1 } = 91.6 , \bar { x } _ { 2 } = 79.2 , s _ { 1 } = 7.1 , s _ { 2 } = 7.3 , n _ { 1 } = 15$ , and $n _ { 2 } = 11$

• A) (9.0, 15.8)
• B) (10.3, 14.5)
• C) (7.2, 17.6)
• D) (10.8, 14.0)

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Definitions:

Total Inputs

The sum of all resources used in the production of goods or services, including labor, capital, and materials.

Productivity

A measure of the efficiency of production, often expressed as the ratio of output to inputs used in a production process.

Inputs

Resources such as labor, capital, materials, and information used in the production of goods or services.

International Quality Standards

A set of formalized rules and guidelines for production and manufacturing that ensure products meet certain requirements for global trade.