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 1.1.11
"Determine whether the data set is a population or a sample. Explain your reasoning.
The salary of each employee of an advertising firm"
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 are studying, while a sample is a subset of the population selected for analysis.
Step 2: Analyze the context of the problem. The data set provided includes the salary of each employee of an advertising firm. This implies that the data set includes information about all employees in the firm.
Step 3: Determine whether the data set represents the entire group or a subset. Since the problem states 'each employee,' it suggests that the data set includes all employees in the firm, not just a subset.
Step 4: Conclude that the data set is a population because it includes all members of the group being studied (all employees of the advertising firm).
Step 5: Explain the reasoning clearly: The data set is a population because it encompasses the entire group of interest (all employees of the firm), rather than a smaller subset or 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 members from which data can be collected. For example, if we consider the salaries of all employees in a company, that entire group constitutes the population.
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Population Standard Deviation Known
Sample
A sample is a subset of a population selected for analysis. It is used to make inferences about the population without needing to collect data from every member. For instance, if only a few employees' salaries are surveyed instead of all, that group would be considered a sample.
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05:11Sampling Distribution of Sample Proportion
Data Collection Context
Understanding the context of data collection is crucial in determining whether a data set is a population or a sample. In this case, since the question specifies 'the salary of each employee of an advertising firm,' it indicates that all employees are included, thus defining the data set as a population.
Recommended video:
4:01Introduction to Collecting Data
Related Practice
Textbook Question
Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.
Census Regions The four geographical regions of the United States recognized by the U.S. Census Bureau are listed.
Northeast, South, Midwest, West
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Textbook Question
Identify the population and the sample. Describe the sample data set.
A survey of 214 of the seniors graduating with a bachelor of science degree from a university found that 15% planned to obtain entry-level jobs in the health field.
250
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Textbook Question
"Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.
The numbers of performances for the 10 longest-running original runs of Broadway shows as of March 15, 2020, are listed. (Source: Playbill)
13,370 9692 9302 7485 6836 6680 6137 5959 5758 5461"
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Textbook Question
"Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
For data at the interval level, you cannot calculate meaningful differences between data entries."
95
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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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