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 thethe firstfirst 1515 peoplepeople in line for the rollerin line for the roller coaster.coaster. Complete parts a through d below. ​a) What kind of sample is​ this? a convenience samplea convenience sample a systematic samplea systematic sample a simple random sample a censusa census ​b) What is the sampling​ frame?

Answer 1

`a. Systematic \ sampling\\b. Sampling \ Frame: \ Every \ 15^t^h \ person \ on \ line \ of \ the \ roller \ coaster`

Explanation:

a. Systematic sampling

Reason-Every
`k^t^h` individual will be in the sample. The
`every \ 15^t^h` is referred to as the sampling interval.

-The sampling interval has a random start point but with a fixed, periodic interval.

-This method was appropriate given the homogeneous nature of the population.

-It is also representative given it has no bias.

b. A sample frame is the part of a population from which information is drawn.# In our sample, the sample frame is
`every \ 15^t^h` person.

#No parts c, d as implied in the question