Question

For quality assurance, every twentieth engine part is selected from an assembly line and tested for durability. 23. Soybeans are planted on a 48-acre field. The field is divided into one-acre subplots. A sample of plants is taken from each subplot to estimate the harvest.

A. Random Sample
B. Convenience
C. Cluster
D. Systematic

Answer 1

The engine part testing scenario uses Systematic Sampling and the soybean field scenario uses Cluster Sampling, as samples are taken systematically and from clusters respectively. Option C,D are correct.

Step-by-step explanation:

The question asks to determine the type of sampling used in provided scenarios. Sampling is a method used to select a part of a population to represent the whole population. Different kinds of sampling techniques are used to achieve different levels of randomness and representation.

For quality assurance where every twentieth engine part is selected from an assembly line and tested, the type of sampling used is Systematic Sampling. This is because in systematic sampling, units are selected at a regular interval, such as every nth unit.

For the scenario where soybeans are planted on a 48-acre field divided into one-acre subplots and from each subplot a sample of plants is taken, the type of sampling used is Cluster Sampling. In cluster sampling, the population is divided into clusters, often geographically, and then a random selection of clusters is chosen for a full data collection.