document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185624>Question 1185624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For women aged​ 18-24, systolic blood pressures​ (in mm​ Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 23 women aged​ 18-24 are randomly​ selected, find the probability that their mean systolic blood pressure is between 119 and 122.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816458 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=816458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x bar-mean)/sigma/ssqrt(n)<BR>\n" );
document.write( "so this is (119-114.8)/13.1/sqrt (23)<BR>\n" );
document.write( "=4.2*sqrt(23)/13.1<BR>\n" );
document.write( "=1.54<BR>\n" );
document.write( "and 7.2*sqrt(23)/13.1<BR>\n" );
document.write( "=2.64<BR>\n" );
document.write( "this has probability of 0.0576<BR>\n" );
document.write( "-<BR>\n" );
document.write( "check with 2ndVARS 2 (normal cdf),119,122,114.8,sqrt(23)/13.1)) ENTER, which gives 0.0579, the difference due to less rounding. </SPAN>\n" );
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