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

question 7

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 $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\\text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245\end{array}$$

• A)Based on these data,we are 99% confident that the mean test score is between 5.05 and 16.76 points.
• B)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.
• C)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.
• D)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.
• E)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.

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