document.write( "Question 887937: How large a sample size is needed to estimate the mean annual income of people in a certain country, correct to within $800 with probability 0.99? No information is available about the standard deviation of their income. It is estimated that nearly all of the incomes fall between $0 and $180,000 and that this distribution is approximately bell-shaped.\r
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document.write( "n =
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document.write( "(round up to the nearest integer) \n" );
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Algebra.Com's Answer #536943 by stanbon(75887) ![]() You can put this solution on YOUR website! How large a sample size is needed to estimate the mean annual income of people in a certain country, correct to within $800 with probability 0.99? No information is available about the standard deviation of their income. It is estimated that nearly all of the incomes fall between $0 and $180,000 and that this distribution is approximately bell-shaped. \n" ); document.write( " n =[z*s/E]^2 \n" ); document.write( "Comment: When sigma is not given 6*s = range of the data = 180,000 \n" ); document.write( "s = 180,000/6 = 30,000 \n" ); document.write( "---- \n" ); document.write( "n = [2.5758*30,000/800]^2 = 9331 (rounded up to the nearest integer) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |