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Name that sample! A researcher for an airline interviews all of the passengers on five randomly selected flights. Simple Random Sample Stratified Sample Convenience Sample Cluster Sample

Question

Name that sample!
A researcher for an airline interviews all of
the passengers on five randomly selected
flights.
Simple Random Sample
Stratified Sample
Convenience Sample
Cluster Sample

Name that sample! A researcher for an airline interviews all of the passengers on five randomly selected flights. Simple Random Sample Stratified Sample Convenience Sample Cluster Sample

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JemimaVeteran · Tutor for 9 years

Answer

Cluster Sample

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## Step 1:<br />The given problem involves a researcher who is interviewing all passengers on five randomly selected flights. This means that the researcher is not interviewing every passenger from all flights, but only those on the five selected flights.<br /><br />## Step 2:<br />This sampling technique is not a Simple Random Sample because not every individual from the population has an equal chance of being selected. It's not a Stratified Sample either, as the population is not divided into distinct groups (or strata) from which samples are taken. It's also not a Convenience Sample because the selection of the sample is not based on the ease of access or proximity to the researcher.<br /><br />## Step 3:<br />The sampling technique used here is Cluster Sampling. This is because the flights act as 'clusters', and all units within these chosen clusters (i.e., all passengers on the selected flights) are sampled.<br /><br />### The formula for cluster sampling is: <br />### \( n = N \times \frac{f}{M} \)<br />### where N is the total population, f is the number of units in a cluster, and M is the number of clusters.
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