Construct the Indicated Confidence Interval for the Difference Between the Two

question 47

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data.
$\bar { x } _ { 1 } = 958 , \bar { x } _ { 2 } = 157 , s _ { 1 } = 77 , s _ { 2 } = 88$
The sample size is 478 for both samples. Find the 85 % confidence interval for $\mu _ { 1 } - \mu _ { 2 }$

• A) \(781 < \mu _ { 1 } - \mu _ { 2 } < 821\)
• B) \(800 < \mu _ { 1 } - \mu _ { 2 } < 802\)
• C) \(794 < \mu _ { 1 } - \mu _ { 2 } < 808\)
• D) \(791 < \mu _ { 1 } - \mu _ { 2 } < 811\)

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Definitions:

Animism

The belief that objects, places, and creatures all possess a distinct spiritual essence or consciousness.

Centration

A cognitive limitation in early child development where the child focuses on one aspect of a situation, neglecting other important features.

Egocentrism

The inability to differentiate between one's own viewpoint and that of others, often observed in early childhood development.

Conservation

The understanding that certain properties of objects or substances remain the same even when their appearances change, a concept crucial in cognitive development.