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

question 11

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 95% confidence interval for the mean score of all applicants who have
Studied Spanish for 4.6 years was determined to be (75.6, 87.7) .Give an interpretation of this
Interval. Dependent variable is: Score
$R$ squared $= 83.09$
$s = 5.65138$ with $10 - 2 = 8$ degrees of freedom
$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\ \text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245 \end{array}$

• A) Based on this regression, we are \(95 \%\) confident that a randomly selected applicant who has studied Spanish for \(4.6\) years will score between \(75.6\) and \(87.7\) points on the proficiency test.
• B) Based on this regression, we are \(95 \%\) confident that applicants will score between \(75.6\) and \(87.7\) points higher on the proficiency test for each additional year spent studying Spanish.
• C) Based on this regression, we are \(95 \%\) confident that all applicants who have studied Spanish for \(4.6\) years will average between \(75.6\) and \(87.7\) points on the proficiency test.
• D) Based on this regression, we are \(95 \%\) confident an applicant who has studied Spanish for \(4.6\) years will score between \(75.6\) and \(87.7\) points on the proficiency test.
• E) Based on this regression, \(95 \%\) of all random samples will have an average score between \(75.6\) and \(87.7\) points on the proficiency test.

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Definitions:

Artificial Selection

The selection by humans of traits that are desirable in plants or animals and breeding only those individuals that have the desired traits. Compare with natural selection.

Broccoli

A green vegetable, belonging to the cabbage family, known for its high nutrient content and health benefits.

Kohlrabi

A vegetable in the cabbage family, with a bulbous stem that tastes similar to broccoli stems but sweeter. It can be eaten raw or cooked.

Adaptations

The process by which a species becomes fitted to its environment; it is the result of natural selection acting upon heritable variation.