The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the mat and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data. DATA file Student Math EBRW Student Math EBRW 1 540 474 480 430 432 380 8 499 459 528 463 610 615 4. 574 612 10 572 541 5 448 420 11 390 335 502 526 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 EBRW scores. What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places. What is the p-value? Round your answer to four decimal places.

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The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the math
and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data.
DATA file
Student
Math
EBRW
Student
Math
EBRW
540
474
7
480
430
432
380
499
459
528
46
610
615
4
574
612
10
572
541
448
420
11
390
335
502
526
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 EBRW scores.
What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places.
t =
What is the p-value? Round your answer to four decimal places.
What is your conclusion?
I. Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
II. Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing
test.
II. Reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
IV. Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test.
- Select your answer -
b. What is the point estimate of the difference between the mean scores for the two tests?
What are the estimates of the population mean scores for the two tests?
Math test
EBRW test
9.
1.
Transcribed Image Text:The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the math and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data. DATA file Student Math EBRW Student Math EBRW 540 474 7 480 430 432 380 499 459 528 46 610 615 4 574 612 10 572 541 448 420 11 390 335 502 526 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 EBRW scores. What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places. t = What is the p-value? Round your answer to four decimal places. What is your conclusion? I. Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II. Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II. Reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. IV. Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. - Select your answer - b. What is the point estimate of the difference between the mean scores for the two tests? What are the estimates of the population mean scores for the two tests? Math test EBRW test 9. 1.
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