document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198306>Question 1198306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The correct answer is one of the following. Which one?The average score on the ACT test is 21 with a standard deviation of 2 points. What score must you get to be in the top 10% of scores (rounded to the nearest whole number)?\r<BR>\n" );
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document.write( "A) 19<BR>\n" );
document.write( "B) 23<BR>\n" );
document.write( "C) 18<BR>\n" );
document.write( "D) 24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831871 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53751)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The correct answer is one of the following. Which one?<BR>\n" );
document.write( "The average score on the ACT test is 21 with a standard deviation of 2 points. <BR>\n" );
document.write( "What score must you get to be in the top 10% of scores (rounded to the nearest whole number)?\r<BR>\n" );
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document.write( "A) 19<BR>\n" );
document.write( "B) 23<BR>\n" );
document.write( "C) 18<BR>\n" );
document.write( "D) 24<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "The normal distribution is a bell-shaped curve.\r\n" );
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document.write( "     In this question, you are given the area of 0.1 under the specified \r\n" );
document.write( "     normal distribution curve on the right of the unknown row z-score.\r\n" );
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document.write( "     They want you find the value of the inverse accumulated normal distribution function\r\n" );
document.write( "     at the mean value of 21, standard deviation of 2, and the given area of 1-0.1 = 0.9.\r\n" );
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document.write( "     You may use online free of charge calculator \r\n" );
document.write( "     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
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document.write( "     It will show you the entire process in visual form, \r\n" );
document.write( "     so you will see and understand what you are doing and you will be able to learn.\r\n" );
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document.write( "        +---------------------------------------------------------------------+\r\n" );
document.write( "        |   Using this online calculator is indispensable as a teaching tool  |\r\n" );
document.write( "        |            for a beginner student to learn the subject.             |\r\n" );
document.write( "        +---------------------------------------------------------------------+\r\n" );
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document.write( "     Alternatively, if you just have some introductory conceptual knowledge, you can use \r\n" );
document.write( "     your standard calculator. The function to use is invNorm(mean=21,SD=2,Area=0.9).\r\n" );
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document.write( "     The answer is z-score = 23.5631.   It means that the rounded score is 24 (option (D)).     <U>ANSWER</U>\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved, with explanations.\r<BR>\n" );
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document.write( "By the way, &nbsp;instruction on rounding, &nbsp;given at the end of your post is &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "It says &nbsp;\" round to the nearest whole number \". \r<BR>\n" );
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document.write( "The correct rounding in this problem is &nbsp;\" round to the nearest greater integer number \".\r<BR>\n" );
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document.write( "Fortunately, &nbsp;in this concrete problem both rounding lead to the same result;\r<BR>\n" );
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document.write( "but to be consistent with the context, &nbsp;the instruction in the post must be repaired.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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