document.write( "Question 1187884: A population consists of the values (1, 4, 3, 2). Consider samples of size 2 that can be drawn from this population.\r
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\n" ); document.write( "\n" ); document.write( "a. List down all the possible samples and corresponding sample mean.\r
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\n" ); document.write( "\n" ); document.write( "b. Construct the sampling distribution of the sample means.\r
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\n" ); document.write( "\n" ); document.write( "c. Draw a histogram of the sampling distribution of the means. \n" ); document.write( "
Algebra.Com's Answer #819148 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We sample with replacement, so it's possible to choose the same value twice.\r\n" );
document.write( "Here are the 16 possible samples of size 2:\r\n" );
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document.write( "sample     x̄     \r\n" );
document.write( "(1,1)     1.0\r\n" );
document.write( "(1,2)     1.5\r\n" );
document.write( "(1,3)     2.0\r\n" );
document.write( "(1,4)     2.5\r\n" );
document.write( "(2,1)     1.5\r\n" );
document.write( "(2,2)     2.0\r\n" );
document.write( "(2,3)     2.5\r\n" );
document.write( "(2,4)     3.0\r\n" );
document.write( "(3,1)     2.0\r\n" );
document.write( "(3,2)     2.5\r\n" );
document.write( "(3,3)     3.0\r\n" );
document.write( "(3,4)     3.5\r\n" );
document.write( "(4,1)     2.5\r\n" );
document.write( "(4,2)     3.0\r\n" );
document.write( "(4,3)     3.5\r\n" );
document.write( "(4,4)     4.0\r\n" );
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document.write( "There are 7 possible sample means. We list each sample with its frequency,\r\n" );
document.write( "which is the number of times it occurs in the list of 16 above:\r\n" );
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document.write( "   x̄     f   \r\n" );
document.write( "  1.0    1    \r\n" );
document.write( "  1.5    2    \r\n" );
document.write( "  2.0    3    \r\n" );
document.write( "  2.5    4    \r\n" );
document.write( "  3.0    3    \r\n" );
document.write( "  3.5    2    \r\n" );
document.write( "  4.0    1    \r\n" );
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document.write( "Here's the histogram:\r\n" );
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document.write( "Edwin
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