document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=727820>Question 727820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6.  The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10.  Find:<BR>\n" );
document.write( "a.  &#8203;The probability that a randomly chosen adult has a pulse rate over 80 assuming that the rates are normally distributed.<BR>\n" );
document.write( "b. The probability that a random sample of 19 adults will have a mean pulse rate over 80.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445194 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=445194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10. Find:<BR>\n" );
document.write( "a. &#8203;The probability that a randomly chosen adult has a pulse rate over 80 assuming that the rates are normally distributed.<BR>\n" );
document.write( "z(80) = (80-72)/10 = 0.8<BR>\n" );
document.write( "P(x > 80) = P(z > 0.8) = normalcdf(0.8,100) = 0.2119<BR>\n" );
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document.write( "b. The probability that a random sample of 19 adults will have a mean pulse rate over 80.<BR>\n" );
document.write( "z(80) = (80-72)/[10/sqrt(19)] = 3.2985<BR>\n" );
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document.write( "P(x-bar > 80) = P(z > 3.2985) = 0.0004861<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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