document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119275>Question 1119275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22 .\r<BR>\n" );
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document.write( " Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.\r<BR>\n" );
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document.write( " a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.\r<BR>\n" );
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document.write( "b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!\r<BR>\n" );
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document.write( "c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?\r<BR>\n" );
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document.write( "d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734881 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=(160-122)/22=38/22=1.73<BR>\n" );
document.write( "probability of z>1.73 is 0.0418 or 4.18%\r<BR>\n" );
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document.write( "for 2000, using the rounded answer the result is 83.63 or 84 people<BR>\n" );
document.write( "Not rounding even the z-value, the answer is 4.21% but this is still 84 people.\r<BR>\n" );
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document.write( "For 140 to 160, the first is (140-122)/22 or 18/22 or z of +0.82<BR>\n" );
document.write( "For 160, z is +1.73 as above<BR>\n" );
document.write( "the probability of z between those two values is 0.1643 or 16.4%\r<BR>\n" );
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document.write( "30th percentile is z of -0.52<BR>\n" );
document.write( "-0.52=(x-mean)/22<BR>\n" );
document.write( "-11.44=x-122<BR>\n" );
document.write( "x=110.56 mm Hg </SPAN>\n" );
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