document.write( "Question 404736: The college board reported the following mean scores for teh three parts of the SAT.
\n" ); document.write( "Critical Reading 502
\n" ); document.write( "Mathematics 515
\n" ); document.write( "Writing 494\r
\n" ); document.write( "\n" ); document.write( "Assume that the population standard deviation on each part of the test is o=100\r
\n" ); document.write( "\n" ); document.write( "What is the probability a random sample test of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the critical reading part of the test?
\n" ); document.write( "I have gotten [502-10, 502=10]= [492,512]
\n" ); document.write( "P(492\n" ); document.write( "
Algebra.Com's Answer #286018 by stanbon(75887)\"\" \"About 
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The college board reported the following mean scores for three parts of the SAT.
\n" ); document.write( "Critical Reading 502
\n" ); document.write( "Mathematics 515
\n" ); document.write( "Writing 494\r
\n" ); document.write( "\n" ); document.write( "Assume that the population standard deviation on each part of the test is o=100\r
\n" ); document.write( "\n" ); document.write( "What is the probability a random sample test of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the critical reading part of the test?
\n" ); document.write( "I have gotten [502-10, 502=10]= [492,512]
\n" ); document.write( "t(492) = (492-502)/[100/sqrt(90)] = -10/[100/sqrt(90)] = -0.9487
\n" ); document.write( "---
\n" ); document.write( "t(512) = (512-502)/[100/sqrt(90)] = +0.9487
\n" ); document.write( "--------
\n" ); document.write( "P(492 < x-bar < 512) = P(-0.9487 < t < +0.9487 when df= 89) =0.6547
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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