document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952915>Question 952915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expect to be between 170 and 175 cm tall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581958 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=581958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expect to be between 170 and 175 cm tall?<BR>\n" );
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document.write( "mean of the sample means = 170<BR>\n" );
document.write( "std of the sample means = 5/sqrt(80) = 0.559<BR>\n" );
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document.write( "z(170) = (170-170)/5 = 0<BR>\n" );
document.write( "z(175) = (175-170)/5 = 1<BR>\n" );
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document.write( "P(170< x <175) = normalcdf(0,1) = 0.3414<BR>\n" );
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document.write( "Ans: 0.3414*80 = 27 when rounded down<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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