document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172750>Question 1172750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a random sample of eight 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)<BR>\n" );
document.write( "Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 1 inches.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797943 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability the mean height is less than 72 inches:<BR>\n" );
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document.write( "z1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2872-71%29%2F%281%2Fsqrt%288%29%29 ALIGN=MIDDLE  ALT=\"%2872-71%29%2F%281%2Fsqrt%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.83<BR>\n" );
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document.write( "A z-score of 2.83 is 0.9977.  This means there is a 0.9977 probability the mean height will be below 72 inches.<BR>\n" );
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document.write( "Probability the mean height is less than 70 inches:<BR>\n" );
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document.write( "z2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2870-71%29%2F%281%2Fsqrt%288%29%29 ALIGN=MIDDLE  ALT=\"%2870-71%29%2F%281%2Fsqrt%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2.83<BR>\n" );
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document.write( "A z-score of -2.83 is 0.0023.  This means there is a 0.0023 probability the mean height will be below 70 inches.<BR>\n" );
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document.write( "To find the probability the mean height will be between 70 and 72 inches, simply subtract these two probabilities from one another:<BR>\n" );
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document.write( "0.9977 - 0.0023 = 0.9954<BR>\n" );
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document.write( "<b>There is a 0.9954 probability the mean height will be between 70 and 72 inches.</b> </SPAN>\n" );
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