Textbook Question
Name each level of measurement for which data can be quantitative.
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Ch. 1 - Introduction to Statistics
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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Table of contents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
Chapter 1, Problem 1.1.18
Determine whether the data set is a population or a sample. Explain your reasoning.
The amount spent by every tenth person cashing out at a store
Verified step by step guidance1
Step 1: Understand the definitions of population and sample. A population refers to the entire group of individuals or items that you want to study, while a sample is a subset of the population selected for analysis.
Step 2: Analyze the description of the data set. The problem states that the data is collected from 'every tenth person cashing out at a store.' This indicates that not all individuals cashing out at the store are included in the data set.
Step 3: Recognize that selecting 'every tenth person' is a sampling method. This approach is known as systematic sampling, where individuals are chosen at regular intervals from the population.
Step 4: Conclude that the data set represents a sample, not a population, because it does not include all individuals cashing out at the store but rather a subset of them.
Step 5: Explain the reasoning. The data set is a sample because it is derived from a systematic selection process (every tenth person), which is a subset of the larger population of all people cashing out at the store.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Population
A population refers to the entire group of individuals or items that share a common characteristic. In statistics, it encompasses all possible observations that could be made. For example, if we consider all customers who cash out at a store, that entire group constitutes the population.
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Population Standard Deviation Known
Sample
A sample is a subset of a population, selected to represent the larger group. It is used in statistical analysis to draw conclusions about the population without needing to collect data from every individual. In the context of the question, the amount spent by every tenth person is a sample of the total customer population.
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05:11Sampling Distribution of Sample Proportion
Sampling Method
The sampling method refers to the technique used to select individuals from a population to form a sample. Different methods, such as random sampling or systematic sampling, can influence the representativeness of the sample. In this case, selecting every tenth person is an example of systematic sampling, which can help ensure that the sample reflects the population's characteristics.
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05:11Sampling Distribution of Sample Proportion
Related Practice
Textbook Question
A study showed the same level of T cell production in senior citizens who are amateur cyclists as in young adults, but a significantly lower level of T cell production in senior citizens who do not exercise regularly. Is it appropriate to infer that exercise stimulates T cell production? Explain. (Source: University of Birmingham)
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Textbook Question
Determine whether the data set is a population or a sample. Explain your reasoning.
The annual revenue of each team in a pro sports league
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Textbook Question
Determine whether the survey question is biased. If the question is biased, suggest a better wording.
How does the media influence the opinions of voters?
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Textbook Question
Determine whether the study is an observational study or an experiment. Explain.
A research study compared the memory retention of subjects when a learning activity was followed by a brief period of wakeful rest and when a learning activity was followed by a brief period of distraction. (Source: Springer Nature)
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Textbook Question
Determine whether you would take a census or use a sampling. If you would use a sampling, determine which sampling technique you would use. Explain.
The average GPA of the 85 students on a college football team roster
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