document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161059>Question 1161059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study shows that scores on an aptitude test are normally distributed with a mean of 70 and a standard deviation of 12. Find the following probabilities:<BR>\n" );
document.write( "a. If one test taker is selected, that the person scored greater than 75.<BR>\n" );
document.write( "b. If 9 test takers are selected, that they have a mean score greater than 75. c. If 49 test takers are selected, that they have a mean score greater than 75.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784516 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z > (5/12) with probability 0.3385\r<BR>\n" );
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document.write( "b. denominator is now sigma/sqrt (n), so z> (5/12/3) or z > 15/12 with probability 0.1056<BR>\n" );
document.write( "c. z>35/12 with probability 0.0018 </SPAN>\n" );
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