document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366439>Question 366439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the population of heights of male college students is approximately normally distributed with mean m of 73.63 inches and standard deviation s of 6.73 inches. A random sample of 97 heights is obtained.\r<BR>\n" );
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document.write( "a. Find the mean and standard error of the xbar distribution.<BR>\n" );
document.write( "b. Find P(xbar > 73.50) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261166 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=261166\">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 m of 73.63 inches and standard deviation s of 6.73 inches. A random sample of 97 heights is obtained. <BR>\n" );
document.write( "a. Find the mean and standard error of the xbar distribution.<BR>\n" );
document.write( "mean of the sample means = 73.63<BR>\n" );
document.write( "std of the sample means = 6.73/sqrt(97)<BR>\n" );
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document.write( "b. Find P(xbar > 73.50)<BR>\n" );
document.write( "t(73.50) = (73.50-73.63)/[6.73/sqrt(97)] = -0.1902<BR>\n" );
document.write( "P(xbar > 73.50) = P(t> -0.1902 when df = 96) = 0.5752<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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