Question

The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an 800-point scale. A sample of SAT scores for six students follows. Student Critical Reading 524 Mathematics 537 590 Writing 535 1 2 589 584 3 463 460 448 4 565 566 551 429 6 423 5 441 481 426 461 a. Using a .05 level of significance, do students perform differently on the three portions of the SAT? Source Sum of Squares Degrees Mean Square F p-value of (to 2 (to whole of (to whole Variation decimals) number) Freedom number) decimals) Treatments Blocks (to 4 Error Total The p-value is - Select your answer. V What is your conclusion? - Select your answer - that the mean scores for the three parts of the SAT are not equal. b. Which portion of the test seems to give the students the most trouble? - Select your answer - V Because it has the lowest - Select your answer - V

Answer 1

Solution:

a)

Test statistic = 0.1623

Data Summary Groups N Mean Std. Dev. Std. Error Group 1 6 501.3333 67.8783 27.7112 Group 2 6 515.8333 56.2189 22.9513 Group 3 6 495 69.8656 28.5225 ANOVA Summary Degrees of Sum of Mean Freedom Squares P- Square Source F-Stat Value DF SS MS Between 1368.7742 684.3871 0.1623 0.8516 N Groups Within 15 63246.152 4216.4101 Groups Total: 17 64614.9261

P-value = 0.8516

P-value is greater then 0.05

Conclusion: Fail to reject, Their is no sufficient evidence to support the claim.

b)

Writing seems to give students most trouble

Because it has lowest mean score