document.write( "Question 844294: Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25.\r
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document.write( "using the above distribution find the probability of a score less than 11. \n" );
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Algebra.Com's Answer #508743 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the mean and standard error of the sample means that is normally distributed with a mean of 10 and a standard deviation of 2 and a sample size of 25. \n" ); document.write( "mean of the sample means = 10 \n" ); document.write( "--- \n" ); document.write( "std of the sample means = 2/sqrt(25) = 2/5 \n" ); document.write( "---------------------------------------------------------- \n" ); document.write( "using the above distribution find the probability of a score less than 11. \n" ); document.write( "z(11) = (11-10)/0.4 = 1/(4/10) = 5/2 = 2.5 \n" ); document.write( "--- \n" ); document.write( "P(x-bar < 11) = P(z < 2.5) = normalcdf(-100,2.5) = 0.9938 \n" ); document.write( "----------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " \n" ); document.write( " |