A farmer plants a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop. He decides to take a simple random sample of the crop. He numbers each plant 1–100 and randomly picks 10 unique numbers. He then counts the number of ears of corn on these 10 plants and multiplies by 100. Which of the following statements is not true about the sample?
Answer
A
The sample of 10 plants was a census of the corn plants.
B
Each sample of 10 had an equal chance of being selected.
C
Each plant had an equal chance of being selected.
D
The sample of 10 plants was a simple random sample.
Explanation
A census includes every plant in the crop, but this farmer counted only 10 of the 100 plants. Since the plants were selected randomly without repeats, each plant had an equal chance of selection, and each possible group of 10 had an equal chance as well. Thus the sample is a simple random sample, not a census.
AI-written and checked against the verified answer.