document.write( "Question 1189106: A chocolate factory produces 80,000 blocks of chocolate per day. Today, the factory operator wants to sample 2% of the blocks for quality testing. He uses systematic sample, starting from the 17th block.\r
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document.write( "a. List the first five blocks to be sampled
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document.write( "b. Find the total size of the sample\r
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document.write( "Please explain how to solve and how to use a ti 84 Plus calculator to solve this question. \n" );
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Algebra.Com's Answer #820337 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A chocolate factory produces 80,000 blocks of chocolate per day. \n" ); document.write( "Today, the factory operator wants to sample 2% of the blocks for quality testing. \n" ); document.write( "He uses systematic sample, starting from the 17th block.\r \n" ); document.write( "\n" ); document.write( "a. List the first five blocks to be sampled \n" ); document.write( "b. Find the total size of the sample\r \n" ); document.write( "\n" ); document.write( "Please explain how to solve and how to use a ti 84 Plus calculator to solve this question. \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "DEFINITION (from this source https://www.investopedia.com/terms/s/systematic-sampling.asp)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Systematic sampling is a type of probability sampling method in which sample members from a larger population \r\n" ); document.write( " are selected according to a random starting point but with a fixed, periodic interval. \r\n" ); document.write( " This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size. \r\n" ); document.write( " Despite the sample population being selected in advance, systematic sampling is still thought of as being random \r\n" ); document.write( " if the periodic interval is determined beforehand and the starting point is random.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the total size of the sample is 2% of 80,000, which is 1600.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the answer to question (b) of your post.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, according to the definition above, the sampling interval is 80000/1600 = 50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It means that every 50-th block must be tested, starting from the 17-th block.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the first 5 blocks for testing are 17, 67, 117, 167, 217.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the answer to question (a) of your post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Easy ? - - - That's all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |