Applicants for a Particular Job, Which Involves Extensive Travel in Spanish-Speaking

question 15

Multiple Choice

Applicants for a particular job, which involves extensive travel in Spanish-speaking countries, must take a proficiency test in Spanish.The sample data were obtained in a study
Of the relationship between the numbers of years applicants have studied Spanish and their
Score on the test.A 95% prediction interval for the score of an applicant who has studied
Spanish for 4.4 years was determined to be (65.4, 93.6) .Give an interpretation of this
Interval. Dependent variable is: Score
$R$ squared $= 83.0$ 웋
$s = 5.65138$ with $10 - 2 = 8$ degrees of freedom
$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\ \text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245 \end{array}$

• A) Based on this regression, we are \(95 \%\) confident that the mean test score will increase between \(65.4\) and \(93.6\) points for each additional year spent studying Spanish.
• B) Based on this regression, we are \(95 \%\) confident that the mean test score for applicants who have studied Spanish for \(4.4\) years will be between \(65.4\) and 93.6.
• C) Based on this regression, we know that \(95 \%\) of all random samples will have a mean test score between \(65.4\) and \(93.6\) points.
• D) Based on this regression, we are \(95 \%\) confident that the mean number of years spent studying Spanish will increase between \(65.4\) and \(93.6\) years for each additional point earned on the test.
• E) Based on this regression, an applicant who has studied Spanish for \(4.4\) years will score between \(65.4\) and \(93.6\) on the proficiency test, with \(95 \%\) confidence.

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Definitions:

Southern Extremists

Individuals or groups from the southern regions, particularly in the context of the United States, who hold radical views or pursue extreme methods, often in relation to issues of race and politics.

Union Destruction Strategy

A strategy focused on dismantling or weakening a union, often used within the context of the American Civil War to refer to tactics aimed at undermining the Confederate states.

Secession Conventions

Meetings held in the southern United States where delegates decided whether their states should secede from the Union, leading up to the Civil War.

Northern Economy

Refers to the economic structure and activities predominant in the northern regions of the United States, historically characterized by industrialization and commerce.