document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71087>Question 71087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1:  Emperical Rule\r<BR>\n" );
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document.write( "Human body temperature have a mean of 98.20 degrees a standard deviation of 0.62 degrees. <BR>\n" );
document.write( "a. Approximately what percentage of people have temperatures between 97.58 and 98.82 degrees? (Hint: Use a number line and the Emperical Rule.) \r<BR>\n" );
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document.write( "b. Approximately what percentage of people have temperatures between 96.34 and 98.2 degrees?\r<BR>\n" );
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document.write( "Question 2\r<BR>\n" );
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document.write( "Assume both data sets are population data sets. If necessary round any decimal answers to 3 decimal places.\r<BR>\n" );
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document.write( "Data set#1:   68, 77, 53, 52, 33, 70, 84, 78, 85, 77, 59, 55, 70<BR>\n" );
document.write( "Data set#2:   3.7, 7.3, 3.4, 5.6 7.7, 3.2, 7.4, 7.3, 2.8, 5.4\r<BR>\n" );
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document.write( "What is the Mean, Median, Mode, Sum of squares, Variance and Standard Deviation  for Data set#1 ?\r<BR>\n" );
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document.write( "What is the Mean, Median, Mode, Sum of squares, Variance, and Standard Deviation for Data Set#2 ?\r<BR>\n" );
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document.write( "b. For Data set #1 what is the z-score for 65? Is this an unusual data value?\r<BR>\n" );
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document.write( "c. For Data set#2 what is the z-score for 8.1? Is this an unusual data value?\r<BR>\n" );
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document.write( "Question 3:  Standard Deviation for Grouped Data.<BR>\n" );
document.write( "The following represents a frequency distribution: \r<BR>\n" );
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document.write( "Complete the rest of the frequency distribution.<BR>\n" );
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document.write( "Class      /Frequency(f)     / midpoint(x) /  x.f   / x-x  / (x-x)sq/(x-x)sq.f<BR>\n" );
document.write( "05-08       frequency=14          ?           ?      ?          ?       ?        <BR>\n" );
document.write( "09-12       frequency=9           ?           ?      ?          ?       ?        <BR>\n" );
document.write( "13-16       frequency=8           ?           ?      ?          ?       ?        <BR>\n" );
document.write( "17-20       frequency=4           ?           ?      ?          ?       ?       <BR>\n" );
document.write( "21-24       frequency=12          ?           ?      ?          ?       ?        <BR>\n" );
document.write( "25-28       frequency=5           ?           ?      ?          ?       ?        \r<BR>\n" );
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document.write( "B. Use the above table to calculate the approximate values of the mean and sample standard deviation. ( You will need the midpoint values)\r<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 #50861 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=50861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 1: Emperical Rule <BR>\n" );
document.write( "Human body temperature have a mean of 98.20 degrees a standard deviation of 0.62 degrees. <BR>\n" );
document.write( "a. Approximately what percentage of people have temperatures between 97.58 and 98.82 degrees? (Hint: Use a number line and the Emperical Rule.) <BR>\n" );
document.write( "Find the z-value of each temperature value:<BR>\n" );
document.write( "(97.58-98.2)/0.62 = -1<BR>\n" );
document.write( "(98.82-98.2)/0.62 = +1<BR>\n" );
document.write( "According to Emperical Rule 68% of the people have temperatures in that range.<BR>\n" );
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document.write( "b. Approximately what percentage of people have temperatures between 96.34 and 98.2 degrees? <BR>\n" );
document.write( "same procedure: find the z-values of the given termperatures; then refer to<BR>\n" );
document.write( "what you know about the Emperical Rule<BR>\n" );
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document.write( "Question 2 <BR>\n" );
document.write( "Assume both data sets are population data sets. If necessary round any decimal answers to 3 decimal places. <BR>\n" );
document.write( "Data set#1: 68, 77, 53, 52, 33, 70, 84, 78, 85, 77, 59, 55, 70<BR>\n" );
document.write( "Data set#2: 3.7, 7.3, 3.4, 5.6 7.7, 3.2, 7.4, 7.3, 2.8, 5.4 <BR>\n" );
document.write( "What is the Mean, Median, Mode, Sum of squares, Variance and Standard Deviation for Data set#1 ? <BR>\n" );
document.write( "Hopefully you have a TI-83 or better calculator.  Inter the Data; Run the<BR>\n" );
document.write( "function \"1-Var Stat\".  It will give you the answers.  Let me know if this<BR>\n" );
document.write( "is not clear.<BR>\n" );
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document.write( "What is the Mean, Median, Mode, Sum of squares, Variance, and Standard Deviation for Data Set#2 ?<BR>\n" );
document.write( "same as above.<BR>\n" );
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document.write( "b. For Data set #1 what is the z-score for 65? Is this an unusual data value?<BR>\n" );
document.write( "Using the Mean and Standard Deviation you found above calculate the z-value<BR>\n" );
document.write( "of 65.  If it is greater than 2 or less than -2 it is an unusual value.<BR>\n" );
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document.write( "c. For Data set#2 what is the z-score for 8.1? Is this an unusual data value?<BR>\n" );
document.write( "same as \"b\".<BR>\n" );
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document.write( "Question 3: Standard Deviation for Grouped Data.<BR>\n" );
document.write( "The following represents a frequency distribution: <BR>\n" );
document.write( "Complete the rest of the frequency distribution.\r<BR>\n" );
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document.write( "Class /Frequency(f) / midpoint(x) / x.f / x-x / (x-x)sq/(x-x)sq.f<BR>\n" );
document.write( "05-08 frequency=14 ? ? ? ? ? <BR>\n" );
document.write( "09-12 frequency=9 ? ? ? ? ? <BR>\n" );
document.write( "13-16 frequency=8 ? ? ? ? ? <BR>\n" );
document.write( "17-20 frequency=4 ? ? ? ? ? <BR>\n" );
document.write( "21-24 frequency=12 ? ? ? ? ? <BR>\n" );
document.write( "25-28 frequency=5 ? ? ? ? ? \r<BR>\n" );
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document.write( "B. Use the above table to calculate the approximate values of the mean and sample standard deviation. ( You will need the midpoint values) <BR>\n" );
document.write( "What part of this do you not undersand?<BR>\n" );
document.write( "QUESTION:  What do you mean by \"x.f\", \"x-x\", (x-x)sq, and (x-x)sq.f  ???<BR>\n" );
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document.write( "COMMENT:<BR>\n" );
document.write( "If you email mail me with a response or question, include the entire<BR>\n" );
document.write( "listing of these questions and my response thus far, as I do not store<BR>\n" );
document.write( "copies of these problems or my responses.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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