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.
The College Board SAT college entrance exam consist: Student 1 Math 540 Writing 474 Student 2 Math 432 Writing 380 Student 3 Math 528 Writing 463 Student 4 Math 574 Writing 612 Student 5 Math 448 Writing 420 Student 6 Math 502 Writing 526 Student 7 Math 480 Writing 430 Student 8 Math 499 Writing 459 Student 9 Math 610 Writing 615 Student 10 Math 572 Writing 541 Student 11 Math 390 Writing 335 Student 12 Math 593 Writing 613
a. Using a .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? 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. What is your conclusion?
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?