Construct Confidence Intervals for a Mean Response
-In Order for a Company's

question 72

Multiple Choice

Construct Confidence Intervals for a Mean Response
-In order for a company's employees to work at a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Construct a $95 \%$ confidence interval about the mean value of $\mathrm { y }$ , given $\mathrm { x } = 2.5 , \mathrm { y } = 6.91 \mathrm { x } + 46.26$ , and $\mathrm { s } e = 4.578$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Number of years, } \mathrm{x} & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \\\hline \text { Grades on test, } \mathrm{y} & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72\end{array}$

• A) \(( 58.28,68.79 )\)
• B) \(( 51.50,75.57 )\)
• C) \(( 55.12,87.34 )\)
• D) \(( 47.32,72.13 )\)

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Definitions:

Tariff Duties

Taxes imposed by a government on imported or exported goods to protect domestic industries or generate revenue.

Coastal States

Regions located along the coastline, often characterized by their unique economic, cultural, and environmental aspects due to proximity to the ocean.

Empress of China

A historical reference to the first American ship to trade with China, setting sail in 1784 and marking the beginning of Sino-American trade relations.

Directly with Asia

Involves engaging, interacting, or conducting activities without intermediaries in countries within the continent of Asia.