Question

In: Statistics and Probability

Scientists are interested in human recall and memory. Is it easier to memorize words that have...

Scientists are interested in human recall and memory. Is it easier to memorize words that have "meaning"? To study this problem, two lists of 20 three-letter "words" were used. One list contained meaningful words (e.g., CAT, DOG), whereas the other list contained nonsense words (e.g., ATC, ODG). A ninth grade class of thirty students will be divided into two groups of students. One group was asked to memorize the list of meaningful words; the other group was asked to memorize the list of nonsense words. The number of words correctly recalled by each student was tabulated.

Number of meaningful words recalled: 12,15,12,12,10,3,7,11,9,14,9,10,9,5,13

Number of nonsense words recalled: 4,6,6,5,7,5,4,7,9,10,8,7,3,2

Is there convincing evidence to report that meaningful words are remembered better than nonsene words?

What statistic test would you use to prove that?

Solutions

Expert Solution

Assuming alpha = 0.05

t test will be used for independent means

Ho: μ1​ ≤ μ2​

Ha: μ1​ > μ2​

This corresponds to a right-tailed test, for which a t-test for two population means, with two independent samples, with unknown population standard deviations will be used.


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