document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119558>Question 1119558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the following information to answer the following four questions: The error in taking various measurements of a rod is normally distributed with mean 17 in and standard deviation 3.1 in. \r<BR>\n" );
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document.write( "27.  What is the probability that a randomly selected measurement will be between 15 in and 19 in?\r<BR>\n" );
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document.write( "(a)	0.5123<BR>\n" );
document.write( "(b)	0.4811<BR>\n" );
document.write( "(c)	0.3956<BR>\n" );
document.write( "(d)	0.2997<BR>\n" );
document.write( "(e)	\r<BR>\n" );
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document.write( "28. What is the probability that a randomly selected measurement will be less than 22 in?<BR>\n" );
document.write( "(a) 0.9466<BR>\n" );
document.write( "(b) 0.8675<BR>\n" );
document.write( "(c) 0.7765<BR>\n" );
document.write( "(d) 0.6875\r<BR>\n" );
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document.write( "29. What is the probability that a randomly selected measurement will be greater than 14.3 in?\r<BR>\n" );
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document.write( "(a)	0.9697<BR>\n" );
document.write( "(b)	0.9090<BR>\n" );
document.write( "(c)	0.8081<BR>\n" );
document.write( "(d)	0.7885\r<BR>\n" );
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document.write( "30. A randomly selected measurement was found to be in the top 5%.  What was its value?<BR>\n" );
document.write( "(a) 24.08<BR>\n" );
document.write( "(b) 23.07<BR>\n" );
document.write( "(c) 22.09<BR>\n" );
document.write( "(d) 21.06<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 #735177 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=735177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> questions like these can be answered very easily using the david m. lane normal distribution calculator.\r<BR>\n" );
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document.write( "the results of the use of that calculator in answering your questions are shown below:\r<BR>\n" );
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document.write( "27. What is the probability that a randomly selected measurement will be between 15 in and 19 in? <BR>\n" );
document.write( "(a)	0.5123<BR>\n" );
document.write( "(b)	0.4811<BR>\n" );
document.write( "(c)	0.3956<BR>\n" );
document.write( "(d)	0.2997<BR>\n" );
document.write( "(e)\r<BR>\n" );
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document.write( "answer is selection b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/070901.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "	<BR>\n" );
document.write( "28. What is the probability that a randomly selected measurement will be less than 22 in?<BR>\n" );
document.write( "(a) 0.9466<BR>\n" );
document.write( "(b) 0.8675<BR>\n" );
document.write( "(c) 0.7765<BR>\n" );
document.write( "(d) 0.6875 \r<BR>\n" );
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document.write( "answer is selection a.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/070902.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "29. What is the probability that a randomly selected measurement will be greater than 14.3 in? <BR>\n" );
document.write( "(a)	0.9697<BR>\n" );
document.write( "(b)	0.9090<BR>\n" );
document.write( "(c)	0.8081<BR>\n" );
document.write( "(d)	0.7885 \r<BR>\n" );
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document.write( "answer is selection c.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/070903.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "30. A randomly selected measurement was found to be in the top 5%. What was its value?<BR>\n" );
document.write( "(a) 24.08<BR>\n" );
document.write( "(b) 23.07<BR>\n" );
document.write( "(c) 22.09<BR>\n" );
document.write( "(d) 21.06\r<BR>\n" );
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document.write( "answer is selection c.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/070904.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "this calculator can be found at <a  rel=nofollow HREF= \"http://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">http://davidmlane.com/hyperstat/z_table.html</a>\r<BR>\n" );
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document.write( "use of a calculator such as this is doing it the easy way.<BR>\n" );
document.write( "you don't have to convert to z-scores and you don't have to look up values in the z-score table and you don't have to interpolate when the area to the left of a z-score is not exactly as the areas found in the z-score tables.\r<BR>\n" );
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document.write( "the answers i got are very close to the correct answers, but they appear to be off by a digit.\r<BR>\n" );
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document.write( "i checked with the TI-84 Plus that can do the same calculations easily and found that your selections are the ones that are off.\r<BR>\n" );
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document.write( "it appears that they truncated to 4 decimal digits rather than rounding to 4 decimal digits.\r<BR>\n" );
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document.write( "for example, the answer i got for the first problem is .48117 which rounds to .4812.\r<BR>\n" );
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document.write( "the answer i got for the second problem was consistent with the selection, therefore no discrepancy there.\r<BR>\n" );
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document.write( "the answer i got for the third problem was consistent with the selection, therefore no discrepancy there.\r<BR>\n" );
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document.write( "the answer i got for the fourth problem was 22.099 which rounds to 22.1.<BR>\n" );
document.write( "the selection said 22.09 so it appears they truncated rather than rounded there as well.\r<BR>\n" );
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document.write( "regardless, the answers i got were still closer to those selections than any of the other selections so it was reasonable to assume those selections were the ones they were looking for.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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