Question

The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,000 controllers from the store’s primary supplier. The shipment consists of 200 boxes each containing 25 controllers. The buyer numbers the boxes from 1 to 200 and randomly selects six numbers in that range. She then opens the six boxes with the corresponding numbers, examines randomly chosen 10 controllers in each of these boxes, and determines the proportion of the 60 controllers that are defective. What type of sample is this?
(a) Simple random sample
(b) Nonrandom sample
(c) Cluster sample
(d) Stratified sample

Answer 1

Answer: (C) Cluster sample

Explanation:

The cluster sampling is one of the sampling method type that is used for analyzing the given data or information from the given sampling cluster. In the cluster sampling method, the researches basically dividing the statistical population into the individual or separate group for analyzing the data.  

According to the given scenario, the cluster sample is one of the type of sample which us use for the given estimated problem.

The Cluster sampling is also refers as the one stage sampling process if the each element in the cluster are sampled together.

Therefore, Option (C) is correct.