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

question 12

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.Use the regression analysis and summary statistics given below to find a
95% prediction interval for the score of an applicant who has studied Spanish for 3.1 years. $\begin{array} { l l l l } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } \\ \text { Years } & 10 & 3.5 & 0.341565 \\ \text { Score } & 10 & 69.7 & 4.088058 \end{array}$
Dependent variable is: Score
$R$ squared $= 83.0 \%$
$s = 5.65138$ with $10 - 2 = 8$ degrees of freedom
$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\ \text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245 \end{array}$

• A) \(60.9\) to \(69.8\)
• B) \(61.3\) to \(69.4\)
• C) \(54.3\) to \(76.4\)
• D) \(51.6\) to \(79.1\)

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Definitions:

Price Increase

Refers to a situation where the cost of goods or services rises over a period of time.

Total Utility Data

Information that represents the total satisfaction received from consuming a certain amount of goods or services.

Money Income

The total amount of monetary earnings or receipts accruing to an individual or household before taxes and other deductions.

Rational Consumer

An individual who makes purchase decisions that maximize their utility, given their budget constraints.