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The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows. Critical Reading Mathematics Writing Student 1 527 533 530 593 591 586 465 461 448 4 561 569 550 436 481 427 6 430 455 423 (a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? (b) Which area of the test seems to give the students the most trouble? Explain.

The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows. Critical Reading Mathematics Writing Student 1 527 533 530 593 591 586 465 461 448 4 561 569 550 436 481 427 6 430 455 423 (a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? (b) Which area of the test seems to give the students the most trouble? Explain.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows. Critical Student Mathematics Writing Reading 527 533 530 2 593 591 586 3 465 461 448 4 561 569 550 5 436 481 427 6. 430 455 423 (a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? (b) Which area of the test seems to give the students the most trouble? Explain.
Transcribed Image Text:The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows. Critical Student Mathematics Writing Reading 527 533 530 2 593 591 586 3 465 461 448 4 561 569 550 5 436 481 427 6. 430 455 423 (a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? (b) Which area of the test seems to give the students the most trouble? Explain.
Since the SAT scores for each area are given for each student, this is a randomized block design. In a randomized block design, there are k treatments and b blocks. The total sample size is n, = kb. There are three areas of the SAT tests, which can be viewed as the number of treatments. There are scores for each of six different students. The given scores are therefore blocked by students. This gives k = treatments and b = blocks. The total sample size is = kb =
Transcribed Image Text:Since the SAT scores for each area are given for each student, this is a randomized block design. In a randomized block design, there are k treatments and b blocks. The total sample size is n, = kb. There are three areas of the SAT tests, which can be viewed as the number of treatments. There are scores for each of six different students. The given scores are therefore blocked by students. This gives k = treatments and b = blocks. The total sample size is = kb =
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