document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115191>Question 1115191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the mean heights all sixth-grade students follow normal distraction with mean 50 inches and 3 inches? <BR>\n" );
document.write( "Suppose you take a sample of 250 students. Give the shape, center and standard-deviation of the sampling distribution of samples means. Find the probability that a sample mean is below 52.5 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730101 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=730101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose the mean heights all sixth-grade students follow normal distraction with mean 50 inches and standard distribution = 3 inches? <BR>\n" );
document.write( "Suppose you take a sample of 25 students. <BR>\n" );
document.write( "Give the shape:: normal distribution<BR>\n" );
document.write( "center:: mean of the sample means = mean of the population = 50 <BR>\n" );
document.write( "standard-deviation of the sample means = 3/sqrt(25)<BR>\n" );
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document.write( " Find the probability that a sample mean is below 52.5 inches?<BR>\n" );
document.write( "z(52.5) = (52.5-50)/(3/sqrt(25))  = 2.5*sqrt(25)/3 = 4.167<BR>\n" );
document.write( "P(x-bar < 52.5) = P(z < 4.167) = normalcdf(-100,4.167) = 0.99998<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( "------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );