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A company that makes language learning software wants to determine which of two approaches (Method A...

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Basic Math

A company that makes language learning software wants todetermine which of two approaches (Method A or Method B) tolearning vocabulary would lead to the largest number of recalledwords. The company wishes to evaluate the methods on 7 differentlanguages (since languages differ in difficulty). Sevenindividuals, one per language, were recruited to learn words usingMethod A, and 7 individuals, one per language, were recruited tolearn words using Method B.

After one month, each person completed a test of word recall.The data, representing the number of words recalled, are shown inthe table below.

Method AMethod B
510
158
284
2023
1513
2215
2026

The company wishes to test whether there is a difference in theaverage number of words recalled between the two methods. Calculatethe test statistic for this hypothesis to two decimal places.Take all calculations toward the final answer to three (3)decimal places

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