document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143671>Question 1143671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches. A sample of 25 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.82 and 30.27 inches long?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764552 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=764552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x bar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "=(29.82-30)/0.9/sqrt(25)=-.1.8*5/.9=-10<BR>\n" );
document.write( "=(30.27-30)/0.9/sqrt(25)=-2.7*5/.9=+15<BR>\n" );
document.write( "For z between-10 and +12 the probability is 1. </SPAN>\n" );
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