document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459584>Question 459584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the population of heights of female college students is approximately normally distributed with mean m of 67.16 inches and standard deviation s of 4.82 inches. A random sample of 92 heights is obtained.  Show all work.  <BR>\n" );
document.write( "(A)  Find the mean and standard error of the x distribution <BR>\n" );
document.write( "(B)  Find P(x > 67.75)<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 #315205 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=315205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that the population of heights of female college students is approximately normally distributed with mean m of 67.16 inches and standard deviation s of 4.82 inches. A random sample of 92 heights is obtained. Show all work.<BR>\n" );
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document.write( "I'm going to assume you mean the x-bar distribution, which<BR>\n" );
document.write( "is the probability distribution of the sample means.<BR>\n" );
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document.write( "(A) Find the mean and standard error of the x distribution<BR>\n" );
document.write( "u(x-bar) = 67.16<BR>\n" );
document.write( "s(x-bar) = 4.82/sqrt(92)<BR>\n" );
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document.write( "(B) Find P(x-bar > 67.75)<BR>\n" );
document.write( "t(67.75) = (67.75-67.16)/[4.82/sqrt(92)] = 1.17<BR>\n" );
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document.write( "P(x-bar > 67.75) P(t > 1.17 when df = 91) = tcdf(1.17,100,91) = 0.12<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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