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:

New Kingdom

An era of ancient Egyptian history, characterized by its wealth, power, and the construction of many of the most famous monuments of Egypt, including the temples at Karnak and the Valley of the Kings.

Palette

A thin board or slab on which an artist lays and mixes colors for painting, or in historical contexts, a stone slab with a circular depression used in ancient Egypt for grinding and mixing cosmetics.

Monument

A structure erected to commemorate persons or events of historical, cultural, or social significance.

Abu Simbel

An ancient temple complex in southern Egypt, built by Pharaoh Ramesses II, featuring monumental statues and intricate carvings.