document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280322>Question 280322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During sleep , the reduction of a person's oxygen consumption has a normal distribution with a mean of 38.4 mL/min and a standard deviation of 4.6 mL/min. <BR>\n" );
document.write( "Determine the probability that during sleep a person's oxygen consumption will be reduced by:\r<BR>\n" );
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document.write( "a) more than 43.5 mL/min<BR>\n" );
document.write( "b) at most 36.4 mL/min<BR>\n" );
document.write( "c) anywhere from 30 to 40 mL/min<BR>\n" );
document.write( "d) If 90% of people have reduction in excess of k mL/min, determine k.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203726 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=203726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During sleep , the reduction of a person's oxygen consumption has a normal distribution with a mean of 38.4 mL/min and a standard deviation of 4.6 mL/min.<BR>\n" );
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document.write( "So you can see the problem, sketch a normal curve with 38.4 at the mean<BR>\n" );
document.write( "position and 4.6 under it.<BR>\n" );
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document.write( "Determine the probability that during sleep a person's oxygen consumption will be reduced by: <BR>\n" );
document.write( "a) more than 43.5 mL/min<BR>\n" );
document.write( "Mark 43.5 on the figure you drew.<BR>\n" );
document.write( "Shade the are to the right of 43.5.<BR>\n" );
document.write( "Find the z-value of 43.5:<BR>\n" );
document.write( "z(43.5) = (43.5-38.4)/4.6 = 1.1087<BR>\n" );
document.write( "Use your z-chart or calculator to find the area to the right<BR>\n" );
document.write( "of that z-value: <BR>\n" );
document.write( "normalcdf(1.1087,10) = 0.1338<BR>\n" );
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document.write( "b) at most 36.4 mL/min<BR>\n" );
document.write( "Find the z-value of 36.4<BR>\n" );
document.write( "Then find the area to the left of that z-value<BR>\n" );
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document.write( "c) anywhere from 30 to 40 mL/min<BR>\n" );
document.write( "Find the z-value of 40 and of 30<BR>\n" );
document.write( "Then find the area between those two z-values<BR>\n" );
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document.write( "d) If 90% of people have reduction in excess of k mL/min, determine k.<BR>\n" );
document.write( "Mark a z-point that has 10% of the area below it.<BR>\n" );
document.write( "Find that z-value with your chart of calculator:<BR>\n" );
document.write( "invNorm(0.10) = -1.2816<BR>\n" );
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document.write( "Use the formula x = zs+u to find \"x\":<BR>\n" );
document.write( "x = -1.2816*4.6 + 38.4<BR>\n" );
document.write( "x = 32.50mL/min<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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