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You Are Evaluating Investing in a Cognitive Training Company

question 66

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You are evaluating investing in a cognitive training company.For this reason, you want to determine whether users who complete at least 75% of the recommended daily training for two months show improved levels of reading comprehension and problem-solving skills.You select a random sample of new users and get test scores for each participant in the sample.The test score is a composite of reading comprehension and problem-solving skills.Two months later, you randomly select 15 users from the original sample who have completed 75% or more of the recommended training in the last two months and have them take a test similar to the initial test.You are interested in determining whether the average test score before training is different than the average test score after training for this sample.The after-training average is 92.8, which is 2.7 points higher than the before-training average.The sample standard deviation of the differences is 1.2.You can assume that the differences are normally distributed in the population.The observed t value for this test is ______.


Definitions:

Personally Approve

A process or action whereby an individual gives their direct and explicit approval or consent.

Cognitive Dissonance Theory

A theory suggesting that people experience discomfort when holding conflicting cognitions, leading them to change their attitudes, beliefs, or actions.

Role-Playing Theory

A theory in social psychology that suggests individuals take on specific roles in group settings, influenced by the expectations of the social environment.

Attribution Theory

A psychological theory that examines how individuals interpret and understand their own behavior and the behavior of others by attributing causes to actions.

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