document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523202>Question 523202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose we have a population of scores with a mean (&#956;) of 200 and a standard deviation (&#963;) of 10. Assume that the distribution is normal. Provide answers to the following questions:\r<BR>\n" );
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document.write( "    What score would cut off the top 5 percent of scores?<BR>\n" );
document.write( "    What score would cut off the bottom 5 percent of scores?<BR>\n" );
document.write( "    What score would cut off the top 2.5 percent of scores?<BR>\n" );
document.write( "    What score would cut off the bottom 2.5 percent of scores?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347216 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=347216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose we have a population of scores with a mean (&#956;) of 200 and a standard deviation (&#963;) of 10. Assume that the distribution is normal. Provide answers to the following questions:<BR>\n" );
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document.write( "I'm using a TI-84 to do the calculations:<BR>\n" );
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document.write( "What score would cut off the top 5 percent of scores?<BR>\n" );
document.write( "Find the z-value with a left tail of 0.95: invNorm(0.95) = 1.645<BR>\n" );
document.write( "Find the corresponding score value using x = zs+u<BR>\n" );
document.write( "x = 1.645*10 + 200 = 216.45<BR>\n" );
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document.write( "What score would cut off the bottom 5 percent of scores?<BR>\n" );
document.write( "Same procedure but z = -1.645<BR>\n" );
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document.write( "What score would cut off the top 2.5 percent of scores?<BR>\n" );
document.write( "invNorm(0.975) = 1.96<BR>\n" );
document.write( "Then find the x-score<BR>\n" );
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document.write( "What score would cut off the bottom 2.5 percent of scores?<BR>\n" );
document.write( "Same procedure but z = -1.96<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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