document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560162>Question 560162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the sample is taken from a large population and the correction factor can be ignored.\r<BR>\n" );
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document.write( "The average public elementary school has 450 students.  Assume the standard deviation of the distribution is 98.  If a random sample of 35 public elementary students is selected, find the probability that the number of students enrolled is between 447 and 456.  Give answer as a percent rounded to two decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363737 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=363737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average public elementary school has 450 students. Assume the standard deviation of the distribution is 98. If a random sample of 35 public elementary students is selected, find the probability that the number of students enrolled is between 447 and 456. Give answer as a percent rounded to two decimal places.<BR>\n" );
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document.write( "z(447) = (447-450)/98 = -0.0306<BR>\n" );
document.write( "z(456) = (456-450)/98 = 0.0612<BR>\n" );
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document.write( "P(447 <= x <= 456) = P(-0.0306 <= z <= 0.0612) = 0.0366 = 3.66%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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