A group of psychologists are interested in understanding what motivates people to spend more time and effort trying to solve difficult problems. Specifically, they are not sure if people are more motivated when they are rewarded (gain something) or punished (lose something) for being successful. Their participants are asked to solve 8 anagrams (word puzzles) with an unlimited amount of time. In the GAIN condition, participants are given $0.25 for each correct answer (up to $2). In the LOSS condition, they are given $2 at the beginning and must give back $0.25 for each incorrect answer. The researchers measure the average amount of time that participants spend on each puzzle (in minutes) for each condition. In this study, each person experiences both the GAIN and LOSS conditions. This means the researchers are able to calculate a “difference score” which represents how much (more or less) time participants spent on the GAIN puzzles than on the LOSS puzzles. Here are the results: Mean difference score: -0.27 Standard deviation of difference score: 0.66   A) critical values B) calculate test stat

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A group of psychologists are interested in understanding what motivates people to spend more time and effort trying to solve difficult problems. Specifically, they are not sure if people are more motivated when they are rewarded (gain something) or punished (lose something) for being successful. Their participants are asked to solve 8 anagrams (word puzzles) with an unlimited amount of time. In the GAIN condition, participants are given $0.25 for each correct answer (up to $2). In the LOSS condition, they are given $2 at the beginning and must give back $0.25 for each incorrect answer. The researchers measure the average amount of time that participants spend on each puzzle (in minutes) for each condition.
In this study, each person experiences both the GAIN and LOSS conditions. This means the researchers are able to calculate a “difference score” which represents how much (more or less) time participants spent on the GAIN puzzles than on the LOSS puzzles. Here are the results:
Mean difference score: -0.27
Standard deviation of difference score: 0.66
 
A) critical values
B) calculate test stat
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