document.write( "Question 1153763: A population has a mean 82 and a standard deviation 30. Find the mean and standard deviation of a sampling distribution of sample means with sample size
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Algebra.Com's Answer #776178 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "The mean of all possible sample means of a given sample size is the same as the\r\n" );
document.write( "mean of the population.\r\n" );
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document.write( "So the mean of the sampling distribution of sample means with sample size 247 is\r\n" );
document.write( "the same as the population mean, 82.\r\n" );
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document.write( "The standard deviation of all possible sample means of a given sample size, n,\r\n" );
document.write( "is the standard deviation of the population DIVIDED BY the square root of n.\r\n" );
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document.write( "So the standard deviation of the sampling distribution of sample means with\r\n" );
document.write( "sample size 247 is the population standard deviation, 30, DIVIDED BY √247.\r\n" );
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document.write( "Answers:\r\n" );
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document.write( "The mean of a sampling distribution of sample means with sample size 247 is: \r\n" );
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document.write( "The standard deviation of a sampling distribution of sample means with sample size 247 is:\r\n" );
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document.write( "[round that off as you were instructed.]\r\n" );
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document.write( "Edwin

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