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The survey design is flawed. (a) Determine whether the flaw is due to the sampling method or the survey itself For flawed surveys, identify the cause of the error (wording of question, nonresponse, and so forth). (b) Suggest a remedy to the problem. A produce buyer for a supermarket is inspecting crates of peaches. He examines 20 peaches from the top of each crate and purchases the crate if all 20 peaches are satisfactory.

Short Answer

Expert verified
The flaw is due to a biased sampling method. Improve sampling by selecting peaches from different parts of the crate.

Step by step solution

01

Identify the Flaw

First, examine the inspection process where 20 peaches from the top of each crate are checked. The flaw can be identified as a sampling method flaw since only peaches from the top are examined, which might not represent the condition of all peaches in the crate.
02

Determine the Cause of the Error

The specific cause of this sampling error is 'biased sampling.' By only inspecting the top peaches, there's a high chance that the sample isn't representative of the entire crate, which could lead to incorrect conclusions.
03

Suggest a Remedy

To remedy this problem, implement a more representative sampling method. For instance, select peaches from various depths and locations within the crate. This ensures that the sample better reflects the overall quality of the crate.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Sampling Method
The sampling method is a crucial part of any survey or study. It refers to the process used to select the sample from the entire population. A good sampling method ensures that every member of the population has an equal chance of being selected. This makes the sample representative of the whole population.

In our produce buyer example, the sampling method is to inspect 20 peaches from the top of each crate. This method is flawed because it may not accurately represent the quality of all the peaches. Peaches from the top could be significantly different from those at the bottom or middle.

To improve the sampling method, the buyer could take samples from various levels within the crate. This would produce a more accurate reflection of the overall peach quality. By doing so, the sample would be more representative, giving a clearer picture of the crate's condition.
Biased Sampling
Biased sampling occurs when certain members of the population are more likely to be included in the sample than others. This leads to an unrepresentative sample that can skew the results. In the context of surveys and research, bias can have significant consequences, leading to inaccurate conclusions and poor decision-making.

In the produce buyer's case, the biased sampling happens because only the peaches on top are inspected. This selection process may ignore possible issues with peaches in the middle or bottom of the crate. Therefore, the sampling method is biased, and the outcomes from this inspection may not be reliable.

To counteract this bias, the buyer should employ a more randomized sampling approach. Sampling from different crate levels ensures a more representative mix of the peaches, reducing the potential for bias. Consequently, the results of the inspection would be more trustworthy and indicative of the entire crate's quality.
Survey Design
Survey design impacts how well the survey gathers information and draws conclusions. A well-designed survey should minimize sources of bias and error, providing accurate and reliable data. It involves careful planning of several elements including question wording, sampling methods, and administration methods.

In this example, the survey design flaw lies in the sampling methodology. The buyer only inspects the top peaches, which may not accurately represent the entire crate. This approach can lead to misleading results, as the quality of all peaches is not evenly assessed.

To design a better survey, it’s critical to ensure that the sampling process is thorough and representative. This could involve taking peaches from various depths and locations within the crate. Asking clear, unbiased questions and ensuring a good response rate are also parts of an effective survey design. By addressing these elements, the survey would yield more accurate and actionable insights.

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