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.StudentMath Writing123456789101112540432528574448502480499610572390593474380463612420526430459615541335613a. 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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Description: 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.StudentMath Writing12

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ISBN:9781119256830

Author:Amos Gilat

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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 12 students
who took the SAT follow.

Student	Math	Writing
1 2 3 4 5 6 7 8 9 10 11 12	540 432 528 574 448 502 480 499 610 572 390 593	474 380 463 612 420 526 430 459 615 541 335 613

a. Use 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. What is the p-value and 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? Which test reports the higher mean
score?

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