Question

identify the sampling techniques used, and discuss potential sources of bias (if any). explain. wheat is planted on a 55 - acre field. the field is divided into one - acre subplots. a sample is taken from each subplot to estimate the harvest. a. simple random sampling is used, since each sample of wheat plants of the same amount has the same chance of being selected. b. cluster sampling is used, since the field is divided into subplots, a number of subplots are selected, and every wheat plant in the selected subplots is sampled. c. stratified sampling is used, since the field is divided into subplots and a random sample is taken from each subplot. d. convenience sampling is used, since the wheat plants closest to the barn are sampled. what potential sources of bias are present, if any? select all that apply. a. it is possible that, due to sampling error, the sample will not be representative. b. certain subplots may have more or fewer wheat plants than others. samples from these subplots may bias the overall sample. c. the sample only consists of the wheat plants that are easiest to reach. this may not be representative of the entire population. d. there are no potential sources of bias.

Explanation:

1. For the sampling - technique part: Stratified sampling divides the population into subgroups (strata) and then samples from each subgroup. Here, the field is divided into subplots (strata) and a sample is taken from each subplot, which fits the definition of stratified sampling.
2. For the bias - part: Sampling error can lead to non - representative samples. Also, if subplots have unequal numbers of wheat plants, samples from them can bias the overall sample.

Answer:

For the sampling technique: C. Stratified sampling is used, since the field is divided into subplots and a random sample is taken from each subplot.
For the potential sources of bias: A. It is possible that, due to sampling error, the sample will not be representative; B. Certain subplots may have more or fewer wheat plants than others. Samples from these subplots may bias the overall sample.