document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147103>Question 1147103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a random sample of size 35 is drawn from a normal distribution with mean 30 and variance 25. what is the probability that the sample mean is at least 28? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768397 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the Normal Distribution and table of z-values<BR>\n" );
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document.write( "standard deviation = square root(25) = 5<BR>\n" );
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document.write( "standard error = 5/square root(35) = 0.8452<BR>\n" );
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document.write( "z = (28 - 30)/0.8452 is approximately -2.37<BR>\n" );
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document.write( "The probability(P) associated with the z value is 0.0089<BR>\n" );
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document.write( "P(X > or = 28) = 1 - 0.0089 =  is approximately 0.9911<BR>\n" );
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