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

question 18

Essay

Applicants for a particular job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x)and their score on the test (y). $$\begin{array}{l} \begin{array} { c c c c c c c c c c c } \hline \mathrm { x } & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\ \hline \mathrm { y } & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\ \hline \end{array}\\ \hat { y } = 31.55 + 10.90 x \end{array}$$ A 99% confidence interval for the slope of the population regression line that relates test score to number of years of study is 5.05 to 16.75. Provide an interpretation of this confidence interval.

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Definitions:

Rorschach

A psychological test in which subjects' perceptions of inkblots are recorded and then analyzed using psychological interpretation, complexity algorithms, or both.

Personality Test

An assessment tool designed to measure and evaluate personality characteristics and psychological traits.

Reality Principle

The concept in psychoanalytic theory that represents the constant adjustment of seeking to satisfy basic desires with the demands of the external world.

Id

A concept in psychoanalytic theory representing the instinctual drives and primal impulses.