Catherine Cho needs a sample of households to participate in the testing of a new toothpaste. She estimates there are approximately 69,000 entries in the residential pages of the telephone directory, randomly selects 152 as the starting point, and instructs her staff to select every 227th entry. Catherine’s sample is a ......单项选择题
A
simple random
B
Cluster
C
Systematic
D
Stratified

Question

Catherine Cho needs a sample of households to participate in the testing of a new toothpaste. She estimates there are approximately 69,000 entries in the residential pages of the telephone directory, randomly selects 152 as the starting point, and instructs her staff to select every 227th entry. Catherine’s sample is a ......单项选择题

A

simple random

B

Cluster

C

Systematic

D

Stratified

BlackTom AI · Accepted Answer

Catherine Cho’s procedure involves selecting a starting point at random and then picking every k-th entry from the ordered list, which is the hallmark of systematic sampling.
Option 1: simple random. This would require each entry to have an equal chance of selection independently, typically via randomization like a random number generator for each unit; Catherine’s method imposes a fixed interval, so this is not simple random sampling.
Option 2: Cluster. Cluster sampling would involve dividing the population into clusters and sampling entire clusters or a subset of clusters; there is no clustering or grouping described here, just a fixed interval selection.
Option 3: Systematic. This matches the described process: a random start and a fixed periodic interval (every 227th entry) to form the sample, which is the essence of systematic sampling.
Option 4: Stratified. Stratified sampling would require dividing the population into strata (subgroups) and sampling within each stratum, ensuring representation across strata; there is no indication of strata or proportional allocation in the described method.

类似问题

_______ is when you are able to choose every kth member of the population.

Choose a random number uniformly from 1 to 10 and survey every 10th student on the list starting from the random number. True or False: each individual has the same chance of being chosen.

True or False: surveying every 10th student on the list starting from the first student on the list will result in a deterministic sample.

A company is interested in surveying their employees. There are 600 employees, and they list them out alphabetically. They would like to have exactly 30 participants in their survey. If they invoke systematic sampling, what is the probability of selecting a particular sample?

Question 31Which sampling method selects every nth individual?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单