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

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 below 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 2.6 years was determined to be (45.7,74.0) . $$\begin{array} { l l l c c } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } & \text { Range } \\\text { Years } & 10 & 3.5 & 0.341565 & 3 \\\text { Score } & 10 & 69.7 & 4.088058 & 41\end{array}$$ Dependent variable is: Score R-squared = 83.0%
S = 5.65138 with 10 - 2 = 8 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\\text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245\end{array}$$

A) Based on this regression,we are 95% confident that the mean test score for applicants who have studied Spanish for 2.6 years will be between 45.7 and 74.0.
B) Based on this regression,we are 95% confident that the mean number of years spent studying Spanish will increase between 45.7 and 74.0 years for each additional point earned on the test.
C) Based on this regression,we are 95% confident that the mean test score will increase between 45.7 and 74.0 points for each additional year spent studying Spanish.
D) Based on this regression,an applicant who has studied Spanish for 2.6 years will score between 45.7 and 74.0 on the proficiency test,with 95% confidence.
E) Based on this regression,we know that 95% of all random samples will have a mean test score between 45.7 and 74.0 points.