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

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.Use the regression analysis and summary statistics given below to find a
95% confidence interval for the mean score of all applicants who have studied Spanish for 3.1 years. $\begin{array} { l l l l } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } \\ \text { Years } & 10 & 3.5 & 0.341565 \\ \text { Score } & 10 & 69.7 & 4.088058 \end{array}$

Dependent variable is: Score
$\mathrm { R }$ 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) $( 60.9,69.8 )$
B) $( 63.6,67.1 )$
C) $( 60.9,71.8 )$
D) $( 51.6,79.1 )$

Correct Answer:

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