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

question 14

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 99% confidence interval for the slope of the regression line was
Determined to be (5.05, 16.76) .Give an interpretation of this interval. Dependent variable is: Score
$R$ squared $= 83.0 \%$
$s = 5.65138$ 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 these data, we are \(99 \%\) confident that the average test score decreases between \(5.05\) and \(16.76\) points for every additional year spent studying Spanish.
• B) Based on these data, we are \(99 \%\) confident that the number of years spent studying Spanish increases between \(5.05\) and \(16.76\) years for every additional point earned on the test.
• C) Based on these data, we are \(99 \%\) confident that the mean test score is between \(5.05\) and \(16.76\) points
• D) Based on these data, we are \(99 \%\) confident that a randomly selected applicant will score between \(5.05\) and \(16.76\) points on the test.
• E) Based on these data, we are \(99 \%\) confident that the average test score increases between \(5.05\) and \(16.76\) points for every additional year spent studying Spanish.

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Definitions:

Birth

The process of being born, marking the beginning of a new life outside the mother's womb.

Land Ownership

The legal or rightful possession of land, which includes the right to use, rent, sell, or bequeath it.

Enclosure

The process of converting shared or communal lands into individually owned property, often associated with agricultural changes in Britain.