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

question 4

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% confidence interval for the mean score of all applicants who have 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
$\mathrm { R }$ 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) \(( 60.9,69.8 )\)
• B) \(( 63.6,67.1 )\)
• C) \(( 60.9,71.8 )\)
• D) \(( 51.6,79.1 )\)

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Definitions:

μ

The symbol used to represent the population mean in statistics.

Frequency Distributions

A statistical tool that organizes data by recording the number of times each value or group of values occurs.

Normal Distributions

A bell-shaped distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Mathematical Formulas

Equations used to describe relationships among different variables.