document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048255>Question 1048255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having some trouble with this problem and could use some help!\r<BR>\n" );
document.write( "\n" );
document.write( "Height and weight are two measurements used to track a child’s development. The World Health Organization measures<BR>\n" );
document.write( "child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for<BR>\n" );
document.write( "all 80 cm girls in the reference population had a mean &#956; = 10.2 kg and standard deviation &#963; = 0.8 kg. Weights are normally<BR>\n" );
document.write( "distributed. X ~ N(10.2, 0.8). Calculate the z-scores that correspond to the following weights and interpret them.<BR>\n" );
document.write( "a. 11 kg<BR>\n" );
document.write( "b. 7.9 kg<BR>\n" );
document.write( "c. 12.2 kg\r<BR>\n" );
document.write( "\n" );
document.write( "I appreciate any help you can offer, thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663855 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean &#956; = 10.2 kg and standard deviation &#963; = 0.8 kg. distributed. X ~ N(10.2, 0.8)<BR>\n" );
document.write( "*Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. 11 kg,  z = .8/.8 = 1      (84%  weigh less)<BR>\n" );
document.write( "b. 7.9 kg  z = -2.3/.8 = -28/8 = -3.5   (Far... left of average(z=0) 98.98% weigh more)<BR>\n" );
document.write( "c. 12.2 kg z = 2/.8 = 20/8 = 2.5   (Far right on curve 99.38% weigh less)<BR>\n" );
document.write( "|<BR>\n" );
document.write( "|<BR>\n" );
document.write( "For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  <BR>\n" );
document.write( "Area under the standard normal curve to the left of the particular z is P(z)<BR>\n" );
document.write( "Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+graph%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+exp%28-x%5E2%2F2%29%29%2C+green%28line%281%2C0%2C1%2Cexp%28-1%5E2%2F2%29%29%2Cline%28-1%2C0%2C-1%2Cexp%28-1%5E2%2F2%29%29%29%2Cgreen%28line%282%2C0%2C2%2Cexp%28-2%5E2%2F2%29%29%2Cline%28-2%2C0%2C-2%2Cexp%28-2%5E2%2F2%29%29%29%2Cgreen%28line%283%2C0%2C3%2Cexp%28-3%5E2%2F2%29%29%2Cline%28-3%2C0%2C-3%2Cexp%28-3%5E2%2F2%29%29%29%2Cgreen%28line%28+0%2C0%2C+0%2Cexp%280%5E2%2F2%29%29%29%2Clocate%284.8%2C-.01%2Cz%29%2Clocate%284.8%2C.2%2Cz%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );