A Standard Aptitude Test Is Given to Several Randomly Selected

question 54

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. $$\begin{array} { l l l l l l l l l l l } \hline \text { Mathematics } &347& 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425 \\\hline \text { Verbal } & 285 & 378 & 243 & 371 & 340 & 271 & 294 & 322 & 385\end{array}$$

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Definitions:

Observations

Data or measurements collected during a study or research.

Bacteria Count

The number of bacterial cells in a given volume or weight of a sample.

Sum Of Squares

A statistical measure used in the context of ANOVA, regression, and other models, representing the total variation attributed to particular explanatory variables.

Error Sum Of Squares

The sum of the squared differences between the observed values and the estimated values in a regression analysis.