Question
In: Statistics and Probability
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.
| Student | Math | Writing |
|---|---|---|
| 1 | 540 | 474 |
| 2 | 432 | 380 |
| 3 | 528 | 463 |
| 4 | 574 | 612 |
| 5 | 448 | 420 |
| 6 | 502 | 526 |
| 7 | 480 | 430 |
| 8 | 499 | 459 |
| 9 | 610 | 609 |
| 10 | 572 | 541 |
| 11 | 390 | 335 |
| 12 | 593 | 607 |
1. Calculate the test statistic. (Round your answer to three decimal places.)
2. Calculate the p-value. (Round your answer to four decimal places.)
p-value =
3. What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)
4. What are the estimates of the population mean scores for the two tests?
Math
Writing
Solutions
orchestra answered 1 year agoRelated Solutions
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
474
2
432
374
3
528
463
4
574
612
5
448
420
6
502
520
7
480
430
8
499
459
9
610
615
10
572
541
11
390
335
12
593
613
(a)
Use a 0.05 level of significance and test for...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
474
2
432
380
3
528
457
4
574
606
5
448
414
6
502
526
7
480
430
8
499
459
9
610
615
10
572
541
11
390
329
12
593
613
(a)Use a 0.05 level of significance and test for a...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
474
2
432
374
3
528
463
4
574
612
5
448
414
6
502
526
7
480
430
8
499
459
9
610
615
10
572
541
11
390
335
12
593
613
(a)
Use a 0.05 level of significance and test for...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
474
2
432
380
3
528
463
4
574
612
5
448
420
6
502
526
7
480
430
8
499
459
9
610
615
10
572
541
11
390
335
12
593
613
Use a 0.05 level of significance and test for a...
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized exam consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the exam follow.
Student
Math
Writing
1
540
474
2
432
380
3
528
463
4
574
612
5
448
414
6
502
526
7
480
430
8
499
453
9
610
615
10
572
541
11
390
335
12
593
613
(a)
Use a 0.05 level of significance and test for...
A standardized testt consists of three parts: math, writing, and critical reading. Sample data showing the...
A standardized testt consists of three parts: math, writing, and
critical reading. Sample data showing the math and writing scores
for a sample of 12 students who took the testt follow.
Student
Math
Writing
1
540
474
2
432
380
3
528
457
4
574
612
5
448
420
6
502
526
7
480
430
8
499
453
9
610
615
10
572
541
11
390
335
12
593
613
(a)
Use a 0.05 level of significance and test for...
The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is...
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
Mathematics
Writing
1
524
535
531
2
597
585
588
3
461
465
446
4
556
565
551
5
435
478
432
6
425
453
419
a. Using a level of significance, do
students perform differently on the three portions of the SAT?
Source
of Variation
Sum of...
The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is...
The Scholastic Aptitude Test (SAT) contains three parts:
critical reading, mathematics, and writing. Each part is scored on
an -point scale. A sample of SAT scores for six students
follows.
Student
Critical
Reading
Mathematics
Writing
1
524
535
531
2
597
585
588
3
461
465
446
4
556
565
551
5
435
478
432
6
425
453
419
a. Using a .05 level of significance, do
students perform differently on the three portions of the SAT?
Source
of Variation...
) The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part...
) The Scholastic Aptitude Test (SAT) contains three sections:
critical reading, mathematics and writing. Each part is scored on a
500-point scale. Information on test scores for the 2018 version of
SAT is available at the College Board website. Find the sample of
SAT scores for 5 students bellow.
ANOVA Table
SAT scores - 2018
Student
Reading
Math
Writing
1
453
458
462
2
456
459
460
3
454
460
457
4
458
456
462
5...
The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is...
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.
Using a .05 level of significance, do students perform
differently on the three areas of the SAT?
Which area of the test seems to give the students the most
trouble? Explain.
Student
Critical Reading
Mathematics
Writing
1
526
534
530
2
594
590
586
3
465
464
445
4
561...
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