document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76064>Question 76064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help solve the questions that i screwed up on, on my last test. please show step by step procedure to solving these problems. ThankYou Please Help.\r<BR>\n" );
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document.write( "1. If the mean height of a women in the U.S.(20-29) is 64.0 and the standard deviation is 2.8.... What is the height that seperates the bottom 20% of women from the top 80% of women? (show standard normal graph with z-scores).\r<BR>\n" );
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document.write( "2. A random sample of 41 men were measured in height. If the mean height was 69.6 with a standard deviation of 2.426 find the 99% confidence interval for the population mean. Assume that the population standard deviation is unknown. Also assume the heights are approximately normally distributed. Round off your final answer to 2 decimal places. \r<BR>\n" );
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document.write( "3. Suppose a probability experiment consists of tossing a fair coin 200 times. Assume that heads or tails are equally likely to occur on any 1 toss. What is the probablity that the number of tails is at least 96. Round your final answer to 3 significant digits. Sketch the standard normal graph.\r<BR>\n" );
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document.write( "4. A book of 350 pages contains 525 random misprint error(s). What is the probability of exactly 2 error(s) on a randomly selected page? (Round probability to 3 decimal places. Round the meaan=((#errors)+(#pages)) to the nearest thousandth.)\r<BR>\n" );
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document.write( "b. What is the probability of no more than 3 error(s) on any one page? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54772 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=54772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. If the mean height of a women in the U.S.(20-29) is 64.0 and the standard deviation is 2.8.... What is the height that seperates the bottom 20% of women from the top 80% of women? (show standard normal graph with z-scores).<BR>\n" );
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document.write( "Find the z-score that corresponds to the bottom 20% of the area under the curve:<BR>\n" );
document.write( "Use InVNorm if you have a TI calculator<BR>\n" );
document.write( "InvNorm(0.20)= -0.841621<BR>\n" );
document.write( "Now find the raw score or \"x-score\" corresponding to the z-score:<BR>\n" );
document.write( "-0.841621 = (x-64)/2.8 <BR>\n" );
document.write( "x-64= -2.356539<BR>\n" );
document.write( "x = 61.64 inches<BR>\n" );
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document.write( "2. A random sample of 41 men were measured in height. If the mean height was 69.6 with a standard deviation of 2.426 find the 99% confidence interval for the population mean. Assume that the population standard deviation is unknown. Also assume the heights are approximately normally distributed. Round off your final answer to 2 decimal places.<BR>\n" );
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document.write( "E=z*(sigma/sqrt(n))<BR>\n" );
document.write( "E=2.575829303(2.426/sqrt(41)=0.9759238861<BR>\n" );
document.write( "CI: x-bar-E<mu<X-bar+E<BR>\n" );
document.write( "CI: 69.6-0.9759238861 <=mu <= 69.6+0.9759238861<BR>\n" );
document.write( "CI: (68.024,69.975923)<BR>\n" );
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document.write( "The TI-83 gives the following CI:<BR>\n" );
document.write( "(68.604,70.596)<BR>\n" );
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document.write( "3. Suppose a probability experiment consists of tossing a fair coin 200 times. Assume that heads or tails are equally likely to occur on any 1 toss. What is the probablity that the number of tails is at least 96. Round your final answer to 3 significant digits. Sketch the standard normal graph. <BR>\n" );
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document.write( "it's binomial:<BR>\n" );
document.write( "n=200 ; p=1/2 ; x>=96<BR>\n" );
document.write( "Use 1-binomcdf(200,0.5,95)= 0.7377<BR>\n" );
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document.write( "4. A book of 350 pages contains 525 random misprint error(s). What is the probability of exactly 2 error(s) on a randomly selected page? (Round probability to 3 decimal places. Round the mean=((#errors)+(#pages)) to the nearest thousandth.) <BR>\n" );
document.write( "I'll have to think about this.<BR>\n" );
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document.write( "b. What is the probability of no more than 3 error(s) on any one page?<BR>\n" );
document.write( "Similarly.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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