Textbook Question
Determine the level of measurement of the data listed on the horizontal and vertical axes in the figure.
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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 1.1.17
Determine whether the data set is a population or a sample. Explain your reasoning.
The number of guests in each room of a hotel
Verified step by step guidance1
Understand the definitions: A population includes all members of a defined group, while a sample is a subset of the population selected for analysis.
Identify the context of the problem: The data set provided is 'the number of guests in each room of a hotel.'
Determine whether the data set includes all rooms in the hotel or just a subset. If it includes all rooms, it represents a population. If it includes only a portion of the rooms, it represents a sample.
Explain the reasoning: If the data set includes every room in the hotel, it is a population because it accounts for the entire group being studied. If it includes only some rooms, it is a sample because it represents a smaller group taken from the population.
Conclude based on the information provided: Since the problem does not specify whether all rooms or only some rooms are included, clarify that the classification depends on whether the data set is complete (population) or partial (sample).
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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 the guests in every room of a hotel across all locations, that would represent the population of hotel guests.
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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 member. For instance, if we only look at the number of guests in a specific hotel or a few selected rooms, we are working with a sample of the overall population of hotel guests.
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05:11Sampling Distribution of Sample Proportion
Data Set Context
Understanding the context of a data set is crucial for determining whether it represents a population or a sample. In this case, the data set consists of the number of guests in each room of a hotel, which implies that it is a complete count of guests in that specific hotel, thus representing a population rather than a sample.
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Guided course
04:39Visualizing Qualitative vs. Quantitative Data
Related Practice
Textbook Question
Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning.
In January 2021, 54% of the governors of the 50 states in the United States were Republicans. (Source: National Governors Association)
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Textbook Question
Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
A double-blind experiment is used to increase the placebo effect.
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Textbook Question
Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning.
A survey of 919 college board members found that 89% think that their institution is a good place for members of racial and ethnic minorities. (Source: Association of Governing Boards of Universities and Colleges)
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Textbook Question
Determine whether the data are qualitative or quantitative. Explain your reasoning.
Nationalities of passengers on a plane
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Textbook Question
"Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
A statistic is a numerical description of a population characteristic."
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