document.write( "Question 1136580: A sample of 36 dieters are in a weight lost program. People who do this program typically loss 40 lbs of weight (with a standard deviation of 12). This sample of dieters lost 45 lbs. Obtain the z score for this sample. \n" ); document.write( "
Algebra.Com's Answer #754374 by Theo(13342)![]() ![]() You can put this solution on YOUR website! population mean is loss of 40 pounds on the average. \n" ); document.write( "population standard deviation is plus or minus 12 pounds on the average.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sample size is 36.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "standard deviation of sample means is 12 / sqrt(36) = 12 / 6 = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z-score for this sample of 36 dieters is (45 - 40) / 2 = 5/2 = 2.5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the z-score formula is z = (x-m)/s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "z is the z-score \n" ); document.write( "x is the sample mean. \n" ); document.write( "m is the population mean. \n" ); document.write( "s is the standard deviation of the distribution of sample means.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula for standard deviation of sample means is s = standard deviation of the population divided by the square root of the sample size.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |