document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757430>Question 757430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know I have studied this all week but for the life of me I can not figure out how to do this. Please help.\r<BR>\n" );
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document.write( "Listed below are the durations(in hours)of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not?\r<BR>\n" );
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document.write( "71  98  233  194  166  270  195  379  258  230  390  340  230  243  0\r<BR>\n" );
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document.write( "The range of the simple data is____ hours.<BR>\n" );
document.write( "The variance of the sample data is_____.<BR>\n" );
document.write( "The standard deviation of the sample data is ____ hours.<BR>\n" );
document.write( "Is the lowest duration time unusual? Why or why not?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460791 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=460791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not? <BR>\n" );
document.write( "71 98 233 194 166 270 195 379 258 230 390 340 230 243 0 <BR>\n" );
document.write( "The range of the simple data is highest-lowest = 390-0 = 390 hours.<BR>\n" );
document.write( "Using my TI-84 I get the following::<BR>\n" );
document.write( "The variance of the sample data is 107.94^2.<BR>\n" );
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document.write( "The standard deviation of the sample data is 107.94 hours.<BR>\n" );
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document.write( "Is the lowest duration time unusual? <BR>\n" );
document.write( "Why or why not? <BR>\n" );
document.write( "z(x) = (x-u)/s<BR>\n" );
document.write( "z(0) = (0-219.8)/107.94 = -2.036<BR>\n" );
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document.write( "Unusual because it is more than 2 standard deviations below the mean.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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