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

question 30

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% confidence interval for the mean score of all applicants who have studied Spanish for 2.5 years was determined to be (53.0,64.6) .Give an interpretation of this interval. $$\begin{array} { l l l c c } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } & \text { Range } \\\text { Years } & 10 & 3.5 & 0.341565 & 3 \\\text { Score } & 10 & 69.7 & 4.088058 & 41\end{array}$$ 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 applicants will score between 53.0 and 64.6 points higher on the proficiency test for each additional year spent studying Spanish.
• B)Based on this regression,we are 95% confident that all applicants who have studied Spanish for 2.5 years will average between 53.0 and 64.6 points on the proficiency test.
• C)Based on this regression,we are 95% confident an applicant who has studied Spanish for 2.5 years will score between 53.0 and 64.6 points on the proficiency test.
• D)Based on this regression,95% of all random samples will have an average score between 53.0 and 64.6 points on the proficiency test.
• E)Based on this regression,we are 95% confident that a randomly selected applicant who has studied Spanish for 2.5 years will score between 53.0 and 64.6 points on the proficiency test.

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