Question

An amusement park has opened a new roller coaster. It is so popular that people are waiting for up to 3 hours for a​ 2-minute ride. Concerned about how patrons​ (who paid a large amount to enter the park and ride on the​ rides) feel about​ this, they survey every every 15th person person in line for the roller coaster, starting from a randomly selectedline. Complete parts a through d below.a) what kind of sample is this? b) what is the sampling frame? c) is it likely to be representative? d) what members of the population are likely to be omitted?

Answer 1

a) Systematic sampling

b) patrons in line on that day at the time

c) no. Only who think it worth the wait are likely to be in line. Also, those who don’t like roller coasters aren’t in the sampling frame, so the poll will not get a fair picture of whether park patrons feel about long lines for roller coaster rides.

d) they need to also sample guest who are not in line for the coaster. There is selection bias.

Hope this helps!

Answer 2

a) It systematic sampling

b) Patrons in line on that day at that time

c) No.

d) Members who are not in the line

Explanation:

a) the whole exercise is a systematic sampling as opposed to the random sampling. This is because the survey is set to survey every 15 th person of the sample set.

b) The sampling frame is the patrons in the line. These are people waiting to get into the park.

c)Only those who think it worth the wait are likely to be in the line. Also, those who don't like roller coasters are not going to be in the sampling frame. So, the poll will not get a fair picture of whether park patrons feel about long lines for roller coaster rides.

d) The sampling was purely out of selection bias. It assumed that everyone would ride the roller coaster.