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Can taking chess lessons and playing chess improve memory? The online article “The USA Junior Chess...

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Statistics

  1. Can taking chess lessons and playing chess improve memory? Theonline article “The USA Junior Chess Olympics Research: DevelopingMemory and Verbal Reasoning” (New Horizons for Learning, April2001) described a study in which sixth-grade students who had notpreviously played chess participated in a program in which theytook chess lessons and played chess daily for 9 months. Eachstudent took a memory test (the Test of Cognitive Skills) beforestarting the chess program and again at the end of the 9-monthperiod. The table below shows the results for 12 randomly selectedstudents.

Student

1

2

3

4

5

6

7

8

9

10

11

12

Pre-chess memory score

510

610

640

675

600

550

610

625

450

720

575

675

Post-chess memory score

850

790

850

775

700

775

700

850

690

775

540

680

Test the claim at theα = 0.01 level of significance thatstudents who participated in the chess program achieve highermemory scores after completion of the program.

  1. State the null and alternate hypotheses [3]

  1. Check the assumptions [4]

  1. Give the test statistic [2]

  1. Give the P-value and the conclusion reached about the nullhypothesis based on the P-value. [2]

  1. Summarize the final conclusion in the context of the claim.[2]

Answer & Explanation Solved by verified expert
4.1 Ratings (630 Votes)
Here we are comparing two data sets where the sample    See Answer
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