Question
upstudy study bank question image url

To study the mean respiratory rate of all people in his state, Frank samples the population by dividing the residents by towns and randomly selecting 12 of the towns. He then collects data from all the residents in the selected towns. Which type of sampling is used? Stratified sampling Systematic sampling Cluster sampling Convenience sampling

Ask by Lyons Donnelly. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Frank used **cluster sampling** by dividing the population into towns and randomly selecting entire towns to collect data from all residents.

Solution

In this scenario, Frank is dividing the population (residents of the state) into groups (towns) and then randomly selecting entire groups (12 towns) to collect data from all residents within those selected towns. This method is known as **cluster sampling**. Here's a breakdown of the options: 1. **Stratified sampling**: This involves dividing the population into subgroups (strata) and then randomly sampling from each stratum. Frank is not sampling from each town but rather selecting entire towns. 2. **Systematic sampling**: This involves selecting every nth individual from a list or population. Frank is not using this method. 3. **Cluster sampling**: This is the correct answer. Frank divides the population into clusters (towns) and randomly selects entire clusters to study. 4. **Convenience sampling**: This involves selecting individuals who are easiest to reach. Frank's method is not based on convenience but on random selection of towns. Thus, the type of sampling used by Frank is **cluster sampling**.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

Frank is using cluster sampling! In this approach, he divides the entire population into groups (or clusters) - in this case, towns - and then randomly selects some of those clusters to include in the study. By collecting data from all residents within the chosen towns, he captures a more comprehensive picture of the respiratory rates within those specific clusters. As for a common mix-up, many people often confuse cluster sampling with stratified sampling. In stratified sampling, you would first divide the population into distinct subgroups (strata) and then randomly sample from each of those groups. Remember, cluster sampling focuses on entire groups, while stratified sampling targets specific segments within those groups!

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy