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  3. the scholastic aptitude test (sat) contains three

The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is...

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Statistics

  1. The Scholastic Aptitude Test (SAT) contains three areas:critical reading, mathematics, and writing. Each area is scored onan 800-point scale. A sample of SAT scores for six studentsfollows.
    1. Using a .05 level of significance, do students performdifferently on the three areas of the SAT?
    2. Which area of the test seems to give the students the mosttrouble? Explain.

Student

Critical Reading

Mathematics

Writing

1

526

534

530

2

594

590

586

3

465

464

445

4

561

566

553

5

436

478

430

6

430

458

420

Answer & Explanation Solved by verified expert
4.4 Ratings (891 Votes)

a)

excel data analysis tool for one factor anova,steps are: write data>menu>data>data analysis>anova :one factor>enter required labels>ok, and following o/p Is obtained,

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Critical Reading 6 3012 502 4686
Mathematics 6 3090 515 3161.2
Writing 6 2964 494.00 5042.80
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 1348.00 2 674.00 0.16 0.8562 3.682
Within Groups 64450.00 15 4296.67
Total 65798.00 17

Ho: µ1=µ2=µ3
H1: not all means are equal

F stat = 0.16

p value = 0.8562 >α=0.05, do not reject Ho

so, students do not perform differently on the three areas of the SAT

b)

Groups Average
Critical Reading 502
Mathematics 515
Writing 494

Writing area of the test seems to give the students the most trouble because its mean score is least
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