1. Intro to Stats and Collecting Data
Intro to Stats
1:55 minutesProblem 1.CQQ.7
Textbook Question
Birth Weights Refer to the sample described in Exercise 6. Because Bellevue Hospital Center agreed to provide the 100 birth weights, does the sample of birth weights constitute a voluntary response sample?
Verified step by step guidance1
Understand the concept of a voluntary response sample: A voluntary response sample is one where participants choose to be part of the sample. This often leads to bias because those who choose to respond may have different characteristics than those who do not.
Identify how the sample was obtained: In this case, Bellevue Hospital Center provided the birth weights. This suggests that the sample was not obtained by asking individuals to volunteer their birth weights.
Determine if the sample is voluntary: Since the hospital provided the data, the individuals whose birth weights are included did not volunteer their information. Therefore, this is not a voluntary response sample.
Consider the implications of the sampling method: Since the sample is not voluntary, it is less likely to be biased in the way voluntary samples often are. However, consider other potential biases, such as selection bias, if the sample is not representative of the broader population.
Reflect on the importance of sample type: Understanding the type of sample is crucial for interpreting the results and generalizing findings. A non-voluntary sample like this one may provide more reliable insights into the population of interest.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Voluntary Response Sample
A voluntary response sample is a type of non-probability sampling where participants self-select into the sample. This often leads to bias, as those who choose to participate may have different characteristics compared to those who do not. In the context of the question, understanding whether the birth weights were self-reported or selected by the hospital is crucial to determine if the sample is voluntary.
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Sampling Bias
Sampling bias occurs when certain members of a population are more likely to be included in a sample than others, leading to a sample that is not representative of the population. In the case of birth weights, if the sample is voluntary, it may not accurately reflect the general population's birth weights, thus affecting the validity of any conclusions drawn.
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Representative Sample
A representative sample accurately reflects the characteristics of the population from which it is drawn. It is crucial for making valid inferences about the population. In this scenario, determining whether the birth weights provided by Bellevue Hospital Center form a representative sample is essential to ensure that any analysis or conclusions are applicable to the broader population.
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