A Researcher Is Estimating the Average Difference Between Two Population

question 27

Multiple Choice

A researcher is estimating the average difference between two population means based on matched-pairs samples.She gathers data on each pair in the study resulting in: $$\begin{array} { | r | r | r | } \hline {\text { Pair } } & \text { Group 1 } & \text { Group } 2 \\\hline 1 & 10 & 12 \\\hline 2 & 8 & 9 \\\hline 3 & 11 & 11 \\\hline 4 & 8 & 10 \\\hline 5 & 9 & 12 \\\hline\end{array}$$ Assume that the data are normally distributed in the population.A 95% confidence interval would be _______.

• A)-3.02 to -0.18
• B)-1.6 to -1.09
• C)-2.11 to 1.09
• D)-2.11 to -1.09
• E)-3.23 to 2.23

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Definitions:

Spearman's "g" Factor

A theory proposing that a general intelligence factor underlies all cognitive abilities, measurable by performance on various tasks.

Intellectual Ability

The capacity to think abstractly, reason, understand complex ideas, learn quickly and from experience, and solve problems.

Specialized Intellectual Abilities

Particular cognitive skills that are highly developed or honed in specific areas, such as mathematical reasoning or linguistic talent.

"g" Factor

A theory suggesting that a general intelligence factor underlies all cognitive abilities, significantly influencing performance on various intellectual tasks.