Question

a large bakery mass produces cakes on an assembly line. each shift, a quality control expert randomly selects one of the first ten finished cakes, and every tenth cake thereafter. employees weigh those cakes and give the cakes a detailed visual check. what type of sample is this? choose 1 answer: a simple random sample b stratified random sample c cluster random sample d systematic random sample e none of the above

Explanation:

A systematic random sample selects every k - th element from an ordered population. Here, a quality - control expert randomly selects one of the first ten finished cakes and then every tenth cake thereafter. In a simple random sample, every element has an equal chance of being selected without a fixed pattern. A stratified random sample divides the population into strata and samples from each stratum. A cluster random sample divides the population into clusters and samples some of the clusters. This sampling method follows a fixed pattern (every tenth cake), so it is a systematic random sample.

Answer:

D. Systematic random sample