document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935951>Question 935951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to determine the probability of the following question.\r<BR>\n" );
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document.write( "The height of 18 year old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches.  What is the probability that the average height of a sample of twenty 18 year olds will bel less than 69 inches?\r<BR>\n" );
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document.write( "I assumed I was trying to determine  P(65<68<69).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569435 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height of 18 year old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that the average height of a sample of twenty 18 year olds will be less than 69 inches?<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "The z score for 69 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2869-68%29%2F%283%2Fsqrt%2820%29%29 ALIGN=MIDDLE  ALT=\"%2869-68%29%2F%283%2Fsqrt%2820%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4907<BR>\n" );
document.write( "P(Z < 1.4907) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.9320%29 ALIGN=MIDDLE  ALT=\"highlight%280.9320%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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