document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127319>Question 1127319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A math professor notices that scores from a recent exam are normally distributed with a mean of 66 and a standard deviation of 4.<BR>\n" );
document.write( "(a) What score do 25% of the students exam scores fall below? Enter your response to 2 decimal places.<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A? Enter your response rounded to the nearest INTEGER VALUE.<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743794 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=743794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A math professor notices that scores from a recent exam are normally distributed with a mean of 66 and a standard deviation of 4.<BR>\n" );
document.write( "(a) What score do 25% of the students exam scores fall below? Enter your response to 2 decimal places.<BR>\n" );
document.write( "Answer:  The z-score of that exam score is invNorm(0.25) = -0.6745<BR>\n" );
document.write( "The exam score is -0.6745*4+ 66 = 63.30<BR>\n" );
document.write( "------------- <BR>\n" );
document.write( "(b) Suppose the professor decides to grade on a curve. If the professor wants <BR>\n" );
document.write( "15%  of the students to get an A, what is the minimum score for an A? Enter your response rounded to the nearest INTEGER VALUE.<BR>\n" );
document.write( "Find the z-score of that student score:<BR>\n" );
document.write( "z = invNorm(0.85) = 1.0364<BR>\n" );
document.write( "Find the student score:: x = z*s+u = 1.0364*4+66 = 70 (when rounded)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );