The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012). Sample data showing the math and writing scores for a sample of twelve students who took the SAT follow. Math Score Writing Score 540 474 432 380 528 463 574 612 448 420 502 526 480 430 499 459 610 615 572 541 390 335 593 613 Use a 0.5 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing 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.

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The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012). Sample data showing the math and writing scores for a sample of twelve students who took the SAT follow.

Math Score Writing Score
540 474
432 380
528 463
574 612
448 420
502 526
480 430
499 459
610 615
572 541
390 335
593 613
  1. Use a 0.5 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing 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.

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