document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682801>Question 682801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423363 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=423363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches. What is the likelihood that the mean annual precipitation during 25 randomly picked years will be less than 90.8 inches?<BR>\n" );
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document.write( "Mean of the sample means of samples of size 25 = 10/sqrt(25) = 2<BR>\n" );
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document.write( "z(90.8) = (90.8-88)/2 = 2.8/2 = 1.4<BR>\n" );
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document.write( "P(x < 90.8) = P(z < 1.4) = normalcdf(-100,1.4) = 0.9192<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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