document.write( "Question 261280: I am trying to understand The Central Limit Theorem and do not quite understand the meaning where it states \"the distribution of the mean will be approximately normal.\" Why is it advantageous to know that a distribution is approximately normal in The Central Limit Theorem? Thank you for your knowledge and help. \n" ); document.write( "

Algebra.Com's Answer #192474 by drk(1908) $\"\"$ $\"About$

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The basic idea is that the more people you include the more normal the curve will appear. This is the idea of the law of large numbers. If I remember correctly, we want at least 30 people as our n. There might be pictures that show if n = 5, n = 10, n = 15, n = 30, n = 50 in your book.If we know that a distribution is normal, then we can apply our z - and t -scores as well as use confidence intervals, and degrees of freedom. This leads to accept or fail to accept the null hypothesis in some tests.
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\n" ); document.write( "hope that helps. \n" ); document.write( "

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