Question

With systematic sampling, the sample may be biased if: select one: a. the kth unit is the same size as the last population unit. b. the population is very heterogeneous. c. there is a systematic pattern in the data. d. the sample size is too large.

Answer 1

The sample in systematic sampling may be biased if there is a systematic pattern in the data that corresponds with the selection interval, leading to a non-representative sample.

Step-by-step explanation:

With systematic sampling, the sample may be biased if there is a systematic pattern in the data. This occurs because selecting every kth unit could align with a pattern within the population, leading to a non-representative sample. Random sampling techniques like simple random sampling, stratified sampling, cluster sampling, and systematic sampling are designed to give each member of the population an equal chance of being selected. If the population has a systematic arrangement that corresponds to the selection interval, the sample may not reflect the true diversity of the population. It is essential to ensure the sampling method does not coincide with any patterns in the population to avoid such bias.