You may need to use the appropriate technology to answer this question. 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 1 2 3 4 5 6 7 8 9 10 11 12 Ho: Hd > 0 Ha: Md ≤0 Math Ho: Hd #0 Hai Hd = 0 540 Ho: Hd = 0 Hai Hd #0 432 528 574 448 502 480 499 610 572 390 Formulate the hypotheses. Ho: Md ≤0 Ha: Md = 0 593 Writing 468 374 463 612 420 526 430 459 615 (a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score writing score.) 541 335 613 Ho Hd ≤0 Ha: Md > O Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =

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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
1
2
3
4
5
6
7
8
9
10
11
12
= 0
Ho: Md > 0
Ha: Md ≤
Math
Ho: Md 0
Ha: Md
= 0
540
Ho: Md = 0
Ha: Md
#0
432
528
574
448
502
480
499
610
572
Formulate the hypotheses.
Ho: Md ≤ 0
Ha: Md
390
593
Writing
468
374
463
612
420
526
430
459
(a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population
mean for the writing scores. (Use math score - writing score.)
615
541
335
613
Ho: Md ≤0
Ha: Md > 0
Calculate the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 1 2 3 4 5 6 7 8 9 10 11 12 = 0 Ho: Md > 0 Ha: Md ≤ Math Ho: Md 0 Ha: Md = 0 540 Ho: Md = 0 Ha: Md #0 432 528 574 448 502 480 499 610 572 Formulate the hypotheses. Ho: Md ≤ 0 Ha: Md 390 593 Writing 468 374 463 612 420 526 430 459 (a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score - writing score.) 615 541 335 613 Ho: Md ≤0 Ha: Md > 0 Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
What is your conclusion?
Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math
test and the writing test.
Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test
and the writing test.
Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the
math test and the writing test.
Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test
and the writing test.
(b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.)
What are the estimates of the population mean scores for the two tests?
Math
Writing
Which test reports the higher mean score?
The math test reports a ---Select--- ✓ mean score than the writing test.
Transcribed Image Text:What is your conclusion? Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. (b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score - writing score.) What are the estimates of the population mean scores for the two tests? Math Writing Which test reports the higher mean score? The math test reports a ---Select--- ✓ mean score than the writing test.
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