Questions: Identify the sampling method that was used. On a day selected at random, a researcher selects all food bills for breakfast, lunch, and dinner, and then compares the amounts of the bills for each group. Cluster Random Stratified Systematic

Identify the sampling method that was used. On a day selected at random, a researcher selects all food bills for breakfast, lunch, and dinner, and then compares the amounts of the bills for each group. Cluster Random Stratified Systematic
Transcript text: Identify the sampling method that was used. On a day selected at random, a researcher selects all food bills for breakfast, lunch, and dinner, and then compares the amounts of the bills for each group. Cluster Random Stratified Systematic
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Solution

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The answer is the first one: Cluster.

Explanation for each option:

  1. Cluster Sampling: This method involves dividing the population into clusters (groups) and then selecting entire clusters at random. In this scenario, the researcher selects all food bills for breakfast, lunch, and dinner, which can be seen as clusters of meals. Therefore, this is an example of cluster sampling.

  2. Random Sampling: This method involves selecting individuals from the population entirely at random, where each individual has an equal chance of being chosen. The scenario does not describe selecting individual bills at random, but rather selecting all bills from specific meal times, so this is not random sampling.

  3. Stratified Sampling: This method involves dividing the population into strata (subgroups) and then randomly selecting individuals from each stratum. The scenario does not describe selecting random bills from each meal type, but rather all bills from each meal type, so this is not stratified sampling.

  4. Systematic Sampling: This method involves selecting every nth individual from a list or sequence. The scenario does not describe selecting bills in a systematic order, so this is not systematic sampling.

In summary, the method used in the scenario is cluster sampling because the researcher selects all bills from specific meal groups (clusters).

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