document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964687>Question 964687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help PLEASE!<BR>\n" );
document.write( "Elizabeth and Angela skate for their college speed skating team. In the last race, Elizabeth skated the 500-meter race in 59 seconds. The average for this race is 65 seconds with a standard deviation of 4.0 seconds. Angela skated the 1000 meter race in 135 seconds. The average for this race is 140 seconds with a standard deviation of 10.0 seconds. Find the z-score for each skater. Relatively speaking, which skater had the faster time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589513 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=589513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elizabeth and Angela skate for their college speed skating team. In the last race, Elizabeth skated the 500-meter race in 59 seconds. The average for this race is 65 seconds with a standard deviation of 4.0 seconds. <BR>\n" );
document.write( "z(59) = (59-65)/4 = 4/4 = 1<BR>\n" );
document.write( "That means her time (59 sec) is 1 standard deviation above the mean.\r<BR>\n" );
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document.write( "Angela skated the 1000 meter race in 135 seconds. The average for this race is 140 seconds with a standard deviation of 10.0 seconds. <BR>\n" );
document.write( "z(135) = (135-140)/10 = -5/10 = -1/2<BR>\n" );
document.write( "That means her time is 1/2 standard deviation below the mean<BR>\n" );
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document.write( "Find the z-score for each skater. Relatively speaking, which skater had the faster time?<BR>\n" );
document.write( "Ans: Elizabeth had the faster average since her time is a standard<BR>\n" );
document.write( "deviation above the mean.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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