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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 die SAT follow. Click on the datafile logo to reference the data. Mal Wring Student Mal Wring l 540 4?4 7 480 430 2 432 380 8 499 459 3 52B 463 9 6 l 0 61 5 4 5 74 612 10 5 T2 541 5 448 420 l l 390 335 6 502 526 12 593 613 a. Use a .05 level of signicance 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. What is the test statistic? Round your answer to two decimal places. What is the Ioyalue? Use ttable. Round your answer to four decimal places. What is your conclusion? The input in the box below will not be graded, but may be reviewed and considered by your instructor. 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 | l Writing test | - Which test reporE the higher mean score? - Select your answer v