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psychmajor74 psychmajor74
wrote...
7 years ago
A researcher conducts a study of perceptual illusions under two different lighting conditions. Twenty participants were each tested under both of the two different conditions. The experimenter reported: “The mean number of effective illusions was 6.72 under the bright conditions and 6.85 under the dimly lit conditions, a difference that was not significant, t(19) = 1.62.”

Explain this result to a person who has never had a course in statistics. Be sure to use sketches of the distributions in your answer.
Source  Aron,A., coups, E.J.,N. (2011). Statistics for the Behavioral & Social Sciences: A Brief Course )5th ed). Boston, MA: Prentice Hall.
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padrepadre
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7 years ago
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In statistics, while testing any hypothesis, we first state the hypothesis. The hypothesis to be tested is called the null hypothesis and the other one is called the alternate hypothesis. In this case the null hypothesis is H0: mean number of effective illusions under bright conditions = mean number of effective illusions under dimly lit conditions and alternate hypothesis, H1: mean number of effective illusions under bright conditions ≠ mean number of effective illusions under dimly lit conditions and alternate hypothesis.
Now, after conducting the t-test it is fount that it is not significant. This implies that we cannot reject the null hypothesis. Therefore there is evidence that there is difference in mean number of effective illusions under different lighting conditions.
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