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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