document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200682>Question 200682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The accountant  department at Weston Materials, inc, a national manufacturer of unattached garages, 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 assemble 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 garage takes between 32 and 34 hours to erect?<BR>\n" );
document.write( "b)	What percent of the garage take between 29 hours and 34 hours to erect<BR>\n" );
document.write( "c)	What percent of the garage takes between 28.7 hours or less erect?<BR>\n" );
document.write( "d)	Of the garage, 5 percent take how mant hours or more to erect<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 #151191 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=151191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The accountant department at Weston Materials, inc, a national manufacturer of unattached garages, 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 assemble times follow the normal distribution. <BR>\n" );
document.write( "a) Determine the z values for 29 and 34 hours. What percent of the garage takes between 32 and 34 hours to erect?<BR>\n" );
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document.write( "z(29) = (29-32)/2 = -3/2 = -1.5<BR>\n" );
document.write( "z(34) = (34-32)/2 = 2/2 = 1<BR>\n" );
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document.write( "b) What percent of the garage take between 29 hours and 34 hours to erect<BR>\n" );
document.write( "P(29<x<34) = P(-1.5<z<1) = 0.7745 = 77.45%<BR>\n" );
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document.write( "c) What percent of the garage takes between 28.7 hours or less erect?<BR>\n" );
document.write( "Find the z-values of 28.7 and 0.<BR>\n" );
document.write( "Then find the percentage between those two z values to get:<BR>\n" );
document.write( "Ans: 4.95%<BR>\n" );
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document.write( "d) Of the garage, 5 percent take how many hours or more to erect<BR>\n" );
document.write( "The z value of 5% is -1.645<BR>\n" );
document.write( "Find the x-value corresponding to z=-1.645<BR>\n" );
document.write( "x = zs+u<BR>\n" );
document.write( "x = -1.645*2 + 32<BR>\n" );
document.write( "x = 28.71 hrs.<BR>\n" );
document.write( "Ans: # of hours >= 28.71 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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