document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277885>Question 277885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Healty people have body temperatures that are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F. <BR>\n" );
document.write( "(a)  If a healthy person is randomly selected, what is the probability that he or she has a temperature above 99.2 degrees F? <BR>\n" );
document.write( "answer:  <BR>\n" );
document.write( "(b)  A hospital wants to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 0.5 % of healty people to exceed it? <BR>\n" );
document.write( "answer:  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202289 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=202289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Healthy people have body temperatures that are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F.<BR>\n" );
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document.write( "(a) If a healthy person is randomly selected, what is the probability that he or she has a temperature above 99.2 degrees F?<BR>\n" );
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document.write( "z(99.2) = (99.2-98.2)/0.62 = 1.6129 <BR>\n" );
document.write( "P(x > 00.2) = P(z> 1.6129) = 0.0534 <BR>\n" );
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document.write( "(b) A hospital wants to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 0.5 % of healty people to exceed it? <BR>\n" );
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document.write( "Find the z-score tht has a right tail of 5%: z = inv(0.95) = 1.645<BR>\n" );
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document.write( "Find the temperature that corresponds to z = 1.645<BR>\n" );
document.write( "x = zs + u<BR>\n" );
document.write( "x = 1.645*0.62+98.2 <BR>\n" );
document.write( "x = 99.22 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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