Construct the Indicated Confidence Interval for the Difference Between the Two

question 84

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.
-Independent samples from two different populations yield the following data. $\overline { x _ { 1 } } = 383 , \overline { x _ { 2 } } = 448$ , s1 $= 44$ , s2 $= 18$ . The sample size is 177 for both samples. Find the 85 percent confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ .

• A) \(- 72 < \mu _ { 1 } - \mu _ { 2 } < - 58\)
• B) \(- 66 < \mu _ { 1 } - \mu _ { 2 } < - 64\)
• C) \(- 79 < \mu _ { 1 } - \mu _ { 2 } < - 51\)
• D) \(- 71 < \mu _ { 1 } - \mu _ { 2 } < - 59\)

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Definitions:

Consumer Price Index

An index that measures the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care.

Substitutes

Products that serve similar purposes. An increase in the price of one will cause an increase in demand for the other (examples are hamburgers and tacos, butter and margarine, Chevrolets and Fords).

Cable TV

is a system of delivering television programming to consumers via radio frequency signals transmitted through coaxial cables.

Satellite TV

A television system that delivers programming to viewers by broadcasting from a communications satellite orbiting the Earth directly to the viewer's location.