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:

Cash Account

An account that records cash transactions both received and expended, reflecting the cash position of a business at any given time.

Raw Material

Raw material refers to the basic, unprocessed inputs used in the production of goods and services; they are the essential components required in the manufacturing process.

Standard Costs

Predetermined costs for products or services, used as benchmarks to measure actual production costs.

Cash Account

An account that reflects the amount of cash a company has on hand, which includes currencies, checks, and balances in bank accounts.