document.write( "Question 803028: Given the following observations in a simple random sample from a population that is normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean:
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document.write( "67 79 71 74 70 59 70 \n" );
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Algebra.Com's Answer #484101 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Given the following observations in a simple random sample from a population that is normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean: \n" ); document.write( "67 79 71 74 70 59 70 \n" ); document.write( "------- \n" ); document.write( "sample mean:: 70 \n" ); document.write( "std = 6.16 \n" ); document.write( "------- \n" ); document.write( "E for the 90% CI = 1.645*6.16/sqrt(7) = 3.83 \n" ); document.write( "E for the 95% CI = 1.96*6.17/sqrt(7) = 4.56 \n" ); document.write( "======= \n" ); document.write( "90% CI: 70-3.83 < u < 70+3.83 \n" ); document.write( "Interp:: We are 90% confident the population mean is between those 2 numbers. \n" ); document.write( "------------------ \n" ); document.write( "95% CI: 70-4.56 < u < 70+4.56 \n" ); document.write( "Interp:: We are 95 % confident the population nean is between those 2 numbers. \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( "--------------------------------- \n" ); document.write( "Ch \n" ); document.write( " |