document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079088>Question 1079088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let  x be a continuous random variable that has a normal distribution with  &#956;=87 and  &#963;=12. Assuming  nN&#8804;0.05, find the probability that the sample mean,  x¯, for a random sample of 20 taken from this population will be between 83.9 and 91.5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693479 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=693479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> std error=12/sqrt(20)=2.683<BR>\n" );
document.write( "z=(83.9-87)/2.683=-1.155<BR>\n" );
document.write( "z=(91.5-87)/2.683=+1.677<BR>\n" );
document.write( "probability=0.8292 </SPAN>\n" );
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