A Researcher Wishes to Determine Whether People with High Blood $99 \%$

question 10

Multiple Choice

A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to construct a $99 \%$ confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ where $\mu _ { 1 }$ and $\mu _ { 2 }$ represent the mean for the treatment group and the control group respectively.
Treatment Group: $n _ { 1 } = 85 , \bar { Y } _ { 1 } = 189.1 , s _ { 1 } = 38.7$
Control Group: $n _ { 2 } = 75 , \bar { Y } _ { 2 } = 203.7 , s _ { 2 } = 39.2$

• A) \(( - 29.0 , - 0.2 )\)
• B) \(( - 1.5,30.7 )\)
• C) \(( - 30.7,1.5 )\)
• D) \(( - 26.8 , - 2.4 )\)
• E) \(( - 1.3,30.5 )\)

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Definitions:

Empirical

Based on, concerned with, or verifiable by observation or experience rather than theory or pure logic.

Necessary

A condition or requirement that is indispensable or essential for something to occur or be the case.

Rationalists

Philosophers or thinkers who emphasize reason, logic, and intellect over sensory experience or empirical evidence as the primary sources of knowledge.

Coherence

The property of being a unified whole, with all elements fitting together well.