document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050946>Question 1050946</A>: <I><SPAN STYLE=\"word-break: break-all;\">   I'm stuck on this one! <BR>\n" );
document.write( "The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.<BR>\n" );
document.write( "A) Find  the probability that an individual distance is greater than 217.50 cm. <BR>\n" );
document.write( "B)  find the probability that the mean for 25 randomly selected distances is greater than 202.80 cm.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666538 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=666538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.<BR>\n" );
document.write( "A) Find the probability that an individual distance is greater than 217.50 cm.<BR>\n" );
document.write( "z(217.5) = (217.5-205)/8.3 = 12.5/8.3 = 1.5060<BR>\n" );
document.write( "P(x > 217.5) = P(z > 1.5060 = normalcdf(1.5060,100) = 0.0660<BR>\n" );
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document.write( "B) find the probability that the mean for 25 randomly selected distances is greater than 202.80 cm.<BR>\n" );
document.write( "Note:: std of means of samples of size 25 = 8.3/sqrt(25) = 8.3/5 = 1.66<BR>\n" );
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document.write( "z(202.80) = (202.8-205)/1.66 = -2.2/1.66 = -1.3253 <BR>\n" );
document.write( "P(x-bar > 202.8) = P(z > -1.3253) = normalcdf(-1.3253,100) = 0.9075<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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