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 |
(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.)
Formulate the hypotheses.
H0: μd ≤ 0
Ha: μd > 0
H0: μd > 0
Ha: μd ≤ 0
H0: μd ≤ 0
Ha: μd = 0
H0: μd ≠ 0
Ha: μd = 0
H0: μd = 0
Ha: μd ≠ 0
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 your conclusion?
Reject H0. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject H0. 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 H0. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. Reject H0. We can 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.)
5
What are the estimates of the population mean scores for the two tests?
Math 6 Writing 7
Which test reports the higher mean score?
The math test reports a 8---Select---higherlower mean score than the writing test.
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 540 432 528 574 448 502 480 499 610 572 474 380 463 606 420 2 4 526 430 459 609 541 335 613 6 8 10 390 12 593 (a) Use a 0.05 level of significance and test for a difference between the population mean...
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 Writing Math 540 432 474 374 612 420 526 610 615 SAS 11 12 390 593 335 513 (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...
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 cares for sale of 12 t h Student Math Writing 38 502 499 610 572 541 390 593 613 math score-writing score) mean for the math scores and the population mean for the writing scores ( (a) Use a 0.05 level of significance and test for a difference between...
The College Board SAT college entrance 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 SAT 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 .05 level of significance...
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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 Math Writing 1 540 474 2 432 380 3 528 463 4 574 612 5 448 414 6 502 526 7 480 430 8 499 459 9 610 615 10 572 541 11 390 335 12...
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You may need to use the appropriate technology to answer this question. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table. Player First Round Final Round Golfer 1 70 72 Golfer 2 71 72 Golfer 3 70 73 Golfer 4 72 71 Golfer 5 70 69 Golfer 6 67 67 Golfer 7 71 68 Golfer 8 68 73 Golfer 9 67 73 Golfer 10...
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