document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150855>Question 1150855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?\r<BR>\n" );
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document.write( "A)skewed to the left\r<BR>\n" );
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document.write( "B)normal (approximately)\r<BR>\n" );
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document.write( "C)skewed to the right\r<BR>\n" );
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document.write( "D)not enough information provided </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772429 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "The sample size n = 240 satisfies the inequality n > 30. \r<BR>\n" );
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document.write( "So the distribution of sample variances will be approximately normal according to the Central Limit Theorem (CLT). This theorem says that whenever n > 30, then the distribution of sample means, sample variances, etc will be approximately normal. This is handy when doing things like finding areas under the curve to determine P values.\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>B) normal (approximately)</font>\r<BR>\n" );
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document.write( "side note: I honestly don't know what the tutor @MathLover1 is referring to when they wrote \"would have to make it a good 80 by 90 by 80 by 90 by 80 which would be 4+4 and make that 69\". It's possible they mixed up two problems together.<BR>\n" );
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