document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205292>Question 1205292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a shoe manufacturing company is producing 50,000 pairs of shoes daily. from a sample of 500 pairs, 2% are found to be of substandard quality. at 95% level of confidence, estimate the number of pairs of shoes that are reasonably expected to be spolied in the daily production. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842010 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> production is 50,000 pairs of shoes daily.<BR>\n" );
document.write( "sample size is 500.<BR>\n" );
document.write( "2% of the 500 were found to be of substandard quality.<BR>\n" );
document.write( ".02 * 500 = 10.<BR>\n" );
document.write( "10 out of the 500 were found to be defective.<BR>\n" );
document.write( "the mean is 10.<BR>\n" );
document.write( "the standard deviation is sqrt(n * p * q) = sqrt(500 * .02 * .98) = 3.130495.\r<BR>\n" );
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document.write( "critical z-score at 95% two tail confidence interval is equal to plus or minus 1.96.\r<BR>\n" );
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document.write( "on the low end of the confidence interval, the formula becomes -1.96 = (x - 10) / 3.120495.<BR>\n" );
document.write( "solve for x to get x = 3.86423.\r<BR>\n" );
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document.write( "on the high end of the confidence interval, the formula becomes 1.96 * (x - 10) / 3.120495.<BR>\n" );
document.write( "solve for x to get x = 16.13577.\r<BR>\n" );
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document.write( "your 95% confidence interval is from 3.86423 to 16.13577.\r<BR>\n" );
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document.write( "here's what it looks like on a normal distribution graph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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