document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142014>Question 142014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that Math 103 scores are normally distributed and they have a mean of 80 and a standard deviation of 6.<BR>\n" );
document.write( "A) Find the Math 103 Score two standard deviations above the mean.<BR>\n" );
document.write( "B)What percent of all scores is greater than 92? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103409 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=103409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that Math 103 scores are normally distributed and they have a mean of 80 and a standard deviation of 6.<BR>\n" );
document.write( "A) Find the Math 103 Score two standard deviations above the mean.<BR>\n" );
document.write( "The z-score of a data value that is 2 standard deviations above the mean is +2.<BR>\n" );
document.write( "Use the formula z(x) = (x-u)/sigma to solve for x:<BR>\n" );
document.write( "2 = (x-80)/6<BR>\n" );
document.write( "12 = x-80<BR>\n" );
document.write( "x = 92<BR>\n" );
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document.write( "B)What percent of all scores is greater than 92?<BR>\n" );
document.write( "The z-score of 92 is +2. You want P(z > 2)<BR>\n" );
document.write( "Use your z-chart to find the answer which is 0.0228 or 2.28%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );