document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192863>Question 1192863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular fruit's weights are normally distributed, with a mean of 657 grams and a standard deviation of 36 grams you pick 23 fruit at random, what is the probability that their mean weight will be between 639 grams and 649 grams? (Round to 4 decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824923 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=824923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd/sqrt(n)<BR>\n" );
document.write( "z(639)=(639-657)36/sqrt(23)<BR>\n" );
document.write( "=-2.398<BR>\n" );
document.write( "z(649)=(649-657)/36/sqrt(23)<BR>\n" );
document.write( "=-8*sqrt(23)/36)=-1.066<BR>\n" );
document.write( "probability of z between those two values is 0.1350 </SPAN>\n" );
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