A Standard Aptitude Test Is Given to Several Randomly Selected

question 77

Essay

A standard aptitude test is given to several randomly selected programmers, and the scores are
given below for the mathematics and verbal portions of the test. Use the sign test to test the
claim that programmers do better on the mathematics portion of the test. Use a 0.05 level of
significance. $$\begin{array} { l l l l l l l l l l } \text { Mathematics } & 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425 \\\hline \text { Verbal } & 285 & 378 & 243 & 371 & 340 & 271 & 294 & 322 & 385\end{array}$$

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Definitions:

Randomness

The lack of pattern or predictability in events.

System

A set of interacting or interdependent components forming an integrated whole, often within a scientific or engineering context.

ΔG°

The standard change in Gibbs free energy associated with a chemical reaction at standard conditions, indicative of the reaction's spontaneity.

Transformation

In chemistry, it refers to a change in the chemical structure of a molecule through a chemical reaction.