document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191976>Question 1191976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of person per hour visiting to a community vaccination centres (CVCs) from 9 am to 9 pm in a particular day are shown as below. Suppose 9 am is the starting time and the number of patients in every 3-hour are selected to form a sample.\r<BR>\n" );
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document.write( "Starting time | 9am 10am 11am  12nn 1pm 2pm 3pm 4pm 5pm 6pm 7pm 8pm<BR>\n" );
document.write( "No. of person|  29     33      35     14     20    29    48    43    22    33    42    34               \r<BR>\n" );
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document.write( " (a) Which time are selected in the sample?<BR>\n" );
document.write( "(b) What is the sampling method used?<BR>\n" );
document.write( "(c) What is the average number of person per hour based on the time<BR>\n" );
document.write( "selected in the sample? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849093 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the breakdown of the answers:\r<BR>\n" );
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document.write( "**(a) Which times are selected in the sample?**\r<BR>\n" );
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document.write( "The problem states that the number of patients in *every 3-hour period* is selected.  So, the following starting times are selected:\r<BR>\n" );
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document.write( "* 9 am<BR>\n" );
document.write( "* 12 nn (12 pm)<BR>\n" );
document.write( "* 3 pm<BR>\n" );
document.write( "* 6 pm\r<BR>\n" );
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document.write( "**(b) What is the sampling method used?**\r<BR>\n" );
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document.write( "This is *systematic sampling*.  The data is arranged in a sequence (time), and every *k*th element (in this case, every 3-hour period) is selected.\r<BR>\n" );
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document.write( "**(c) What is the average number of persons per hour based on the times selected in the sample?**\r<BR>\n" );
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document.write( "1. **Identify the number of persons for each selected time:**<BR>\n" );
document.write( "   * 9 am: 29 persons<BR>\n" );
document.write( "   * 12 nn: 14 persons<BR>\n" );
document.write( "   * 3 pm: 48 persons<BR>\n" );
document.write( "   * 6 pm: 33 persons\r<BR>\n" );
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document.write( "2. **Calculate the total number of persons in the sample:** 29 + 14 + 48 + 33 = 124 persons\r<BR>\n" );
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document.write( "3. **Calculate the total number of hours represented by the sample:** 4 time periods * 3 hours/period = 12 hours\r<BR>\n" );
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document.write( "4. **Calculate the average number of persons per hour:** 124 persons / 12 hours = 10.33 persons/hour (approximately)<BR>\n" );
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