document.write( "Question 1199648: Another normally distributed set of population scores has a mean of 110 and a standard deviation of 18.2. What is the sample mean, for samples of size 196 equals _________.\r
\n" ); document.write( "\n" ); document.write( "For the population and sample size given in question 2, the standard error of the mean equals _________. \n" ); document.write( "
Algebra.Com's Answer #848280 by CPhill(1959)\"\" \"About 
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**1. Sample Mean**\r
\n" ); document.write( "\n" ); document.write( "* The sample mean (x̄) is equal to the population mean (μ). \r
\n" ); document.write( "\n" ); document.write( "* **Sample Mean (x̄) = 110**\r
\n" ); document.write( "\n" ); document.write( "**2. Standard Error of the Mean**\r
\n" ); document.write( "\n" ); document.write( "* The standard error of the mean (σx̄) is calculated as:\r
\n" ); document.write( "\n" ); document.write( " σx̄ = σ / √n \r
\n" ); document.write( "\n" ); document.write( " where:
\n" ); document.write( " * σ is the population standard deviation (18.2)
\n" ); document.write( " * n is the sample size (196)\r
\n" ); document.write( "\n" ); document.write( "* σx̄ = 18.2 / √196
\n" ); document.write( "* σx̄ = 18.2 / 14
\n" ); document.write( "* σx̄ = 1.3\r
\n" ); document.write( "\n" ); document.write( "**Therefore:**\r
\n" ); document.write( "\n" ); document.write( "* **Sample Mean (x̄) = 110**
\n" ); document.write( "* **Standard Error of the Mean (σx̄) = 1.3**
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