document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363492>Question 363492</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 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78 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>67.50)<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 #259226 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=259226\">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 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78 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( "mean of sample means = mean of population = 67.26<BR>\n" );
document.write( "std of sample means = 5.98/sqrt(78)<BR>\n" );
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document.write( "(B) Find P(x>67.50)<BR>\n" );
document.write( "I am assuming \"x\" refers to the population.<BR>\n" );
document.write( "z(67.5) = (67.5-67.26)/5.98 = 0.0401<BR>\n" );
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document.write( "P(x > 67.5) = P(z > 0.0401) = 0.4840<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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