document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135562>Question 135562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The accounting department at Weston Materials, Inc., a national manufacturer of unattached<BR>\n" );
document.write( "garages, reports that it takes two construction workers a mean of 32 hours and a<BR>\n" );
document.write( "standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow<BR>\n" );
document.write( "the normal distribution.<BR>\n" );
document.write( "a. Determine the z values for 29 and 34 hours. What percent of the garages take between<BR>\n" );
document.write( "32 hours and 34 hours to erect?<BR>\n" );
document.write( "b. What percent of the garages take between 29 hours and 34 hours to erect?<BR>\n" );
document.write( "c. What percent of the garages take 28.7 hours or less to erect?<BR>\n" );
document.write( "d. Of the garages, 5 percent take how many hours or more to erect?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99342 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=99342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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<BR>\n" );
document.write( "the normal distribution.<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 hours and 34 hours to erect?<BR>\n" );
document.write( " P(32 < x <34) = P(0 < z < 1)=0.3413<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 (-1.5 < z < 0)=0.4332<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( "P(0 < x < 28.7) = P(-16 < x < -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-score associated with the upper 5%: z=1.645<BR>\n" );
document.write( "Find the corresponding x-score using z=(x-u)/s<BR>\n" );
document.write( "1.645 = (x-32)2<BR>\n" );
document.write( "x-32 = 2*1.645<BR>\n" );
document.write( "x = 3.290+32 = 35.29 hours<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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