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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Definitions:

Well-Being

A state of being comfortable, healthy, or happy, often considered in discussions of personal satisfaction, economic policy, and health care.

Confirmation Bias

The tendency to look only for evidence that supports our assumptions.

Interpretive Bias

The tendency to interpret information in a way that confirms one's preconceptions, often leading to skewed understanding or judgment.

Reflective Skepticism

The practice of questioning and critically examining one's own beliefs and assumptions.