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

Question 8

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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
RR squared =83.0%= 83.0 \%
s=5.65138s = 5.65138 with 102=810 - 2 = 8 degrees of freedom
 Variable  Coefficient  s.e. of Coeff  t-ratio  prob  Constant 31.533336.3604184.9577450.00111 Number of years 10.904761.7440546.2525380.000245\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%99 \% confident that the average test score decreases between 5.055.05 and 16.7616.76 points for every additional year spent studying Spanish.
B) Based on these data, we are 99%99 \% confident that the number of years spent studying Spanish increases between 5.055.05 and 16.7616.76 years for every additional point earned on the test.
C) Based on these data, we are 99%99 \% confident that the mean test score is between 5.055.05 and 16.7616.76 points
D) Based on these data, we are 99%99 \% confident that a randomly selected applicant will score between 5.055.05 and 16.7616.76 points on the test.
E) Based on these data, we are 99%99 \% confident that the average test score increases between 5.055.05 and 16.7616.76 points for every additional year spent studying Spanish.

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