Question

Certain ball bearings are packed in boxes that hold 500. 25 boxes of ball bearings are then packed each crate for shipping. To make sure that theball bearings being prepared for shipping were being produced with the correct measurements, asupervisor decided to conduct asample for quality-control purposes.He randomly picked one crate,opened it up, and then randomlychose two boxes of ball bearingsfrom that crate. He measured all ofthe ball bearings from the two boxes.This is an example of a:Answer Choices:convenience sample.systematic sample.cluster samplestratified random sample.

Answer 1

Given:

Number of balls packed in a box = 500

Number of boxes packed for shipping = 25

Given that the supervisor randomly picked one crate, opened it up, then randomly chose two boxes from the crate.

He then measures all of the ball bearings from the two boxes.

Let's determine the type of sampling method used here.

Here, we can see that the balls were packed in boxes, then into crates.

Since the manger then chooses one crate out of all crates, then picks only two boxes and sampled all balls in the tow boxes, the type of sampling technique used here can be said to be the cluster sampling technique.

Cluster sampling involves a sampling method where by the population is divided into clusters(small groups), then they randomly select select among these clusters to form a sample.

The cluster sampling is used mostly when the population is large.

ANSWER:

Cluster sampling.