document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490443>Question 490443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help...i am taking an online stats class and am so confused on this problem..I have been working on it for so long Im getting a headache...thank you very much\r<BR>\n" );
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document.write( "Assume that the population of heights of female college students is approximately normally distributed with mean µ of 64.64 inches and standard deviation ð of 6.02 inches. A random sample of 98 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>63.75)                                      <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 #334128 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=334128\">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 µ of 64.64 inches and standard deviation ð of 6.02 inches. A random sample of 98 heights is obtained. Show all work. <BR>\n" );
document.write( "(A) Find the mean and standard error of the x-bar distribution.<BR>\n" );
document.write( "mean of the sample means = 64.64<BR>\n" );
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document.write( "(B) Find p(x>63.75<BR>\n" );
document.write( "If you really mean x and not x-bar you get:<BR>\n" );
document.write( "z(63.75) = (63.75-64.64)/6.02 = -0.1478<BR>\n" );
document.write( "P(x > 63.75) = P(z > -0.1478) = 0.5587<BR>\n" );
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document.write( "But, if you mean P(x-bar > 63.75) you get:<BR>\n" );
document.write( "t(63.75) = (63.75-64.64)/[6.02/sqrt(98)] = -1.4635<BR>\n" );
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document.write( "P(xbar > 63.75) = P(t > -1.4635 when df = 97) = 0.9267<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " \r<BR>\n" );
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