document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073347>Question 1073347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Physics, the mean was 70 and the standard deviation was 8. In Chemistry, the mean was 68 and the standard deviation was 10. If Alison scored 75 in both PHysics and Chemistry, in which test did she perform better? Justify your answer. Which mark obtained in Chemistry is equivalent to a mark of 62 in PHysics? What percentage of students scored a mark above 88 in Chemistry?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688188 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Allison scored 75 on both tests<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Physics   (75 - 70) / 8  = 0.625<BR>\n" );
document.write( "Chemistry (75 - 68) / 10 = 0.700<BR>\n" );
document.write( ":<BR>\n" );
document.write( "***********************************************************<BR>\n" );
document.write( "Allison performed better on the Chemistry test, since<BR>\n" );
document.write( "her score is 0.7 of one standard deviation which is higher<BR>\n" );
document.write( "than her performance on the Physics test<BR>\n" );
document.write( "***********************************************************<BR>\n" );
document.write( ":<BR>\n" );
document.write( "62 in physics is (62 - 70) / 8 = -1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "58 in chemistry is (58 - 68) / 10 = -1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "**********************************************<BR>\n" );
document.write( "58 in Chemistry is equivalent to 62 in Physics<BR>\n" );
document.write( "**********************************************<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Probability(P) ( X > 88 ) = 1 - P ( X < 88 )<BR>\n" );
document.write( ":<BR>\n" );
document.write( "z-score = ( 88 - 68 ) / 10 = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "consult table of z-values for associated probability <BR>\n" );
document.write( ":<BR>\n" );
document.write( "P ( X < 88 ) = 0.9772<BR>\n" );
document.write( ":<BR>\n" );
document.write( "**********************************<BR>\n" );
document.write( "P ( X > 88 ) = 1 - 0.9772 = 0.0228<BR>\n" );
document.write( "**********************************<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );