SAT college entrance exam consists of three parts: math, writing and critical reading (The World A Almanac 2012). Sample data showing the math and writing scores for a students who took the SAT follow. DATA e sample of twelve StudentMath Writing MathWriting 432 528 574 430 615 335 380 499 610 572 390 612 420 526 12 613 a. 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-3.10 What is the p-value? Round your answer to four decimal places 3 .0052 What is your conclusion?
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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?