company z wants to determine how many cyclists at a certain bike path ride a company z bike. about 100…

company z wants to determine how many cyclists at a certain bike path ride a company z bike. about 100 cyclists ride on the bike path each day. the company wants a sample of 17 cyclists. you come up with two different sampling methods. one is a systematic sampling where you record the type of bike for every 6th cyclist that enters the trail. the other is a simple random sampling where 100 cyclists are given individual numbers and 17 of those numbers are chosen at random. which method should you use? justify your choice. choose the correct answer below. a. simple random sampling, because you cannot evenly divide 100 by 17, and it is easier to do than systematic sampling b. simple random sampling, because systematic sampling will produce a biased sample c. systematic sampling, because simple random sampling will produce a biased sample d. systematic sampling, because it is easier to ask every 6th cyclist as they enter the path than to do the simple random sampling
Answer
Explanation:
Step1: Analyze division issue
Since $100\div17\approx5.88$, 100 cannot be evenly divided by 17. In systematic sampling, if we want a sample of 17 from 100, the interval - selection may not be straightforward.
Step2: Consider sampling complexity
Simple random sampling is generally easier when there is no easy - to - use fixed interval as in systematic sampling. There is no reason to believe that either method will inherently produce a biased sample in this context.
Answer:
A. Simple random sampling, because you cannot evenly divide 100 by 17, and it is easier to do than systematic sampling