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

question 15

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% prediction interval for the score of an applicant who has studied
Spanish for 4.4 years was determined to be (65.4, 93.6) .Give an interpretation of this
Interval. Dependent variable is: Score
$R$ squared $= 83.0$ 웋
$s = 5.65138$ 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 the mean test score will increase between \(65.4\) and \(93.6\) points for each additional year spent studying Spanish.
• B) Based on this regression, we are \(95 \%\) confident that the mean test score for applicants who have studied Spanish for \(4.4\) years will be between \(65.4\) and 93.6.
• C) Based on this regression, we know that \(95 \%\) of all random samples will have a mean test score between \(65.4\) and \(93.6\) points.
• D) Based on this regression, we are \(95 \%\) confident that the mean number of years spent studying Spanish will increase between \(65.4\) and \(93.6\) years for each additional point earned on the test.
• E) Based on this regression, an applicant who has studied Spanish for \(4.4\) years will score between \(65.4\) and \(93.6\) on the proficiency test, with \(95 \%\) confidence.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.