document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932319>Question 932319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a test, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution...<BR>\n" );
document.write( "a.) what number represents the 65th percentile?<BR>\n" );
document.write( "b.) what number represents the 90th percentile?<BR>\n" );
document.write( "c) what is the probability of getting a raw score between 28 and 38?<BR>\n" );
document.write( "d) What is the probability of getting a raw score between 41 and 44? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566193 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean of 35 and a standard deviation of 6.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+35%29%2Fblue%286%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+35%29%2Fblue%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( ".....<BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P( 28 <x< 38) = P(-7/6 < z < 3/6)= normalcdf(-7/6, 1/2)= .5698<BR>\n" );
document.write( "P(41 < x < 44) = P( 6/6 < z < 9/6)= normalcdf(1, 1.5)= .0918<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "65th percentile:  6(invNorm(.65)) + 35 = 6( .3853) + 35 = x = 38 (using next Integer)<BR>\n" );
document.write( "90th percentile:  6(invNorm(.90)) + 35 = 6 (1.2816) + 35 = x<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );