document.write( "Question 1170783: Find the margin of error for the given values of c,ō, and n.
\n" ); document.write( "C=0.95, ō=3.1, n=64
\n" ); document.write( "E= ? ( round to three decimal places as needed) \n" ); document.write( "
Algebra.Com's Answer #851099 by CPhill(1987)\"\" \"About 
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To find the margin of error (E), we'll use the following formula:\r
\n" ); document.write( "\n" ); document.write( "E = z_c * (σ / √n)\r
\n" ); document.write( "\n" ); document.write( "Where:\r
\n" ); document.write( "\n" ); document.write( "* E = margin of error
\n" ); document.write( "* z_c = the critical z-value corresponding to the confidence level (c)
\n" ); document.write( "* σ = the population standard deviation
\n" ); document.write( "* n = the sample size\r
\n" ); document.write( "\n" ); document.write( "**1. Find the Critical z-Value (z_c)**\r
\n" ); document.write( "\n" ); document.write( "* c = 0.95 (95% confidence level)
\n" ); document.write( "* For a 95% confidence level, the critical z-value (z_c) is approximately 1.96. You can find this value using a z-table or a calculator.\r
\n" ); document.write( "\n" ); document.write( "**2. Plug in the Values**\r
\n" ); document.write( "\n" ); document.write( "* z_c = 1.96
\n" ); document.write( "* σ = 3.1
\n" ); document.write( "* n = 64\r
\n" ); document.write( "\n" ); document.write( "E = 1.96 * (3.1 / √64)\r
\n" ); document.write( "\n" ); document.write( "**3. Calculate the Margin of Error**\r
\n" ); document.write( "\n" ); document.write( "* √64 = 8
\n" ); document.write( "* E = 1.96 * (3.1 / 8)
\n" ); document.write( "* E = 1.96 * 0.3875
\n" ); document.write( "* E = 0.76\r
\n" ); document.write( "\n" ); document.write( "**Answer:**\r
\n" ); document.write( "\n" ); document.write( "E = 0.760 (rounded to three decimal places)
\n" ); document.write( " \n" ); document.write( "
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