Question 1189106
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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.

a. List the first five blocks to be sampled
b. Find the total size of the sample

Please explain how to solve and how to use a ti 84 Plus calculator to solve this question.
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DEFINITION       (from this source      https://www.investopedia.com/terms/s/systematic-sampling.asp)


<pre>
    Systematic sampling is a type of probability sampling method in which sample members from a larger population 
    are selected according to a random starting point but with a fixed, periodic interval. 
    This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size. 
    Despite the sample population being selected in advance, systematic sampling is still thought of as being random 
    if the periodic interval is determined beforehand and the starting point is random.
</pre>


So, &nbsp;the total size of the sample is &nbsp;2% &nbsp;of &nbsp;80,000, &nbsp;which is &nbsp;1600.


It is the answer to question &nbsp;(b) &nbsp;of your post.



Now, &nbsp;according to the definition above, &nbsp;the sampling interval is &nbsp;80000/1600 = 50.


It means that every &nbsp;50-th block must be tested, &nbsp;starting from the &nbsp;17-th block.


So, &nbsp;the first &nbsp;5 &nbsp;blocks for testing are  &nbsp;17, &nbsp;67, &nbsp;117, &nbsp;167, &nbsp;217.


It is the answer to question &nbsp;(a) &nbsp;of your post.


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Easy ? - - - That's all.