In Order for Applicants to Work for the Foreign-Service Department $\hat{\hat { y }}$

question 2

Multiple Choice

In order for applicants to work for the foreign-service department, 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
Applicants have studied a particular language and the grades they received on the proficiency exam. Construct
A 95% prediction interval for y given x = 2.5, $\hat{\hat { y }}$ = 6.91x + 46.26, and $\mathrm { s } _ { \mathrm { e } }$ = 4.578. Round interval to two decimal
Places. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Number of years, } x & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \\\hline \text { Grades on test, } y & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72\end{array}$$

• A) \(51.50 < y < 75.57\)
• B) \(60.23 < y < 91.42\)
• C) \(55.12 < y < 87.34\)
• D) \(47.32 < y < 72.13\)

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Definitions:

Opioids

A class of drugs that includes the illegal drug heroin, synthetic opioids such as fentanyl, and pain relievers available legally by prescription, used primarily for pain management.

FDA

The Food and Drug Administration, a federal agency of the United States responsible for protecting and promoting public health through the control and supervision of food safety, tobacco products, dietary supplements, prescription and over-the-counter medications, vaccines, and more.

Opioid-Use Disorder

A problematic pattern of opioid use leading to clinically significant impairment or distress.

Methadone

A medication used to treat chronic pain and as part of medication-assisted treatment for opioid use disorder.