document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116516>Question 116516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The accounting department @ Weston Materials, Inc. reports that it takes two construction workers a mean of  32 hours and a standard deviation of 2 hours to erect the Red Barn model.  Assume the assembly times follow the normal distribution.\r<BR>\n" );
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document.write( "a)Determine the z values for 29 and 34 hours.  What percent of the garages take between 32 and 34 hours to erect?\r<BR>\n" );
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document.write( "b)What percent of the garages take between 29 hours and 34 hours to erect?\r<BR>\n" );
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document.write( "c)What percent of the g arages take 28.7 hours or less to erect?\r<BR>\n" );
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document.write( "d)Of the garages, 5 percent take how many hours or more to erect? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84721 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=84721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The accounting department @ Weston Materials, Inc. reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. <BR>\n" );
document.write( "a)Determine the z values for 29 and 34 hours. What percent of the garages take between 32 and 34 hours to erect?<BR>\n" );
document.write( "z(29) = (29-32)/2 = -1<BR>\n" );
document.write( "z(34) = (34-32)/2 = 1<BR>\n" );
document.write( "P(32<X<34) = P(0<z<1) = 0.34<BR>\n" );
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document.write( "b)What percent of the garages take between 29 hours and 34 hours to erect?<BR>\n" );
document.write( "P(29<X<34) = P(-1<z<1) = 0.68<BR>\n" );
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document.write( "c)What percent of the garages take 28.7 hours or less to erect? <BR>\n" );
document.write( "Find the z-score of 28.7<BR>\n" );
document.write( "z(28.7) = (28.7-32)/2 = -1.65<BR>\n" );
document.write( "Find P(z < -1.65) = 0.0495<BR>\n" );
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document.write( "d)Of the garages, 5 percent take how many hours or more to erect?<BR>\n" );
document.write( "Find the z-value that has 0.05 of the population above it.<BR>\n" );
document.write( "z = 1.6449<BR>\n" );
document.write( "find the x-value associated with that z value:<BR>\n" );
document.write( "1.6449 = (x-32)/2<BR>\n" );
document.write( "x-32 = 3.2897<BR>\n" );
document.write( "x = 35.2897<BR>\n" );
document.write( "5% take 35.2897 or more hours to erect.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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