The College Board SAT college entrance exam consists of three parts:math, writing, and critical reading (The World Almanac, 2012). Sampledata showing the math and writing scores for a sample of 12 studentswho took the SAT follow. Student Math  Writing 123456789101112 540432528574448502480499610572390593 474380463612420526430459615541335613 a. Use a .05 level of significance and test for a difference betweenthe population mean for the math scores and the population meanfor the writing scores. What is the p-value and what is yourconclusion? b. What is the point estimate of the difference between the meanscores for the two tests? What are the estimates of the populationmean scores for the two tests? Which test reports the higher meanscore?

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