document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120396>Question 1120396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500.  Assume that the scores are normally distributed.\r<BR>\n" );
document.write( "\n" );
document.write( "Find the probability that a student had a score between 250 and 305. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737045 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=737045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mean score=µ=281<BR>\n" );
document.write( "Standard deviation=&#963;=34.4<BR>\n" );
document.write( "Score1=x1=250<BR>\n" );
document.write( "Score2=x2=305<BR>\n" );
document.write( "z-score z1=(x1- µ)/ &#963;=(250-281)/34.4=-31/34.4=-0.9011<BR>\n" );
document.write( "z-score z2=(x2- µ)/ &#963;=(305-281)/34.4=24/34.4=0.6976<BR>\n" );
document.write( "The probability for the first z-score from excel is =NORMDIST(250,281,34.4,TRUE)=0.183751<BR>\n" );
document.write( "The probability for the second z-score from excel is =NORMDIST(305,281,34.4,TRUE)= 0.75731<BR>\n" );
document.write( "Required probability=0.75731-0.183751=0.573559<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );