document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712542>Question 712542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the population of heights of male college students is approximately normally distributed with mean of 69.66 and standard deviation of 6.08 inches. A random sample of 84 height is obtained. find the mean and standard error of the distribution. find P(x>68.75) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438018 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=438018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that the population of heights of male college students is approximately normally distributed with mean of 69.66 and standard deviation of 6.08 inches.<BR>\n" );
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document.write( " A random sample of 84 height is obtained. find the mean and standard error of the distribution of sample means.<BR>\n" );
document.write( "mean of the sample means = 69.66<BR>\n" );
document.write( "std of the sample means = 6.08/sqrt(84) = 0.6634<BR>\n" );
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document.write( "Find P(x-bar > 68.75)<BR>\n" );
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document.write( "z(68.75) = (68.75-69.66)/0.6634 = -1.3718<BR>\n" );
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document.write( "P(x-bar > 68.75) = P(z > -1.3618) = 0.9149<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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