The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each areais scored on an 800-point scale. A sample of SAT scores for six students follows.CriticalStudentMathematicsWritingReading52753353025935915863465461448456156955054364814276.430455423(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 arandomized 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 scoresfor each of six different students. The given scores are therefore blocked by students. This givesk =treatments and b =blocks. The total sample size is= kb =

a) The null and alternate Hypothesis are H0 : all groups have the same meanH1 : atleast two groups…

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 =

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