Textbook Question
Discrete/Continuous Data Which of the following describe discrete data
c. The exact times that randomly selected students spend on smart phones during the preceding week
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Ch. 1 - Introduction to Statistics
Triola14th EditionElementary StatisticsISBN: 9780137366446
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Table of contents
- Ch. 1 - Introduction to Statistics88
- Ch. 2 - Exploring Data with Tables and Graphs70
- Ch. 3 - Describing, Exploring, and Comparing Data66
- Ch. 4 - Probability112
- Ch. 5 - Discrete Probability Distributions109
- Ch. 6 - Normal Probability Distributions122
- Ch. 7 - Estimating Parameters and Determining Sample Sizes107
- Ch. 8 - Hypothesis Testing75
- Ch. 9 - Inferences from Two Samples94
- Ch. 10 - Correlation and Regression80
- Ch. 11 - Goodness-of-Fit and Contingency Tables29
- Ch. 12 - Analysis of Variance42
Chapter 1, Problem 1.2.4.a
E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics).
a. Identify the sample and population.
Verified step by step guidance1
Understand the definitions: The 'population' is the entire group that you want to draw conclusions about, while the 'sample' is the subset of the population that you actually collect data from.
Identify the population: In this problem, the population is all adults, as the survey aims to understand the behavior of this entire group regarding E-cigarette usage.
Identify the sample: The sample is the 36,000 adults who were actually surveyed. This is the group from which the data was collected.
Clarify the relationship: The sample is used to make inferences about the population. In this case, the 3.7% figure is an estimate of the proportion of all adults who regularly use E-cigarettes.
Consider the implications: The accuracy of the survey results depends on how well the sample represents the population. Factors such as sample size and sampling method can affect this representation.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Population
In statistics, the population refers to the entire group of individuals or instances about whom we want to draw conclusions. In this context, the population consists of all adults who could potentially use E-cigarettes, not just those surveyed. Understanding the population is crucial for generalizing survey results.
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04:48
Population Standard Deviation Known
Sample
A sample is a subset of the population selected for analysis. In this case, the sample is the 36,000 adults surveyed about their E-cigarette usage. Analyzing a sample allows researchers to make inferences about the larger population without needing to survey everyone, which can be impractical.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Sampling Method
The sampling method refers to the technique used to select individuals from the population to form the sample. It is important because it affects the representativeness of the sample and the validity of the conclusions drawn. A well-chosen sampling method ensures that the sample accurately reflects the population's characteristics.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Related Practice
Textbook Question
Countable For each of the following, categorize the nature of the data using one of these three descriptions: (1) discrete because the number of possible values is finite; (2) discrete because the number of possible values is infinite but countable; (3) continuous because the number of possible values is infinite and not countable.
a. Exact lengths of the feet of members of the band the Monkees
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Textbook Question
Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
b. Systematic sample
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Textbook Question
Simple Random Sample vs. Random Sample Refer to the definition of simple random sample here and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample.
a. In Major League Baseball, there are 30 teams, each with an active roster of 25 players. The names of the teams are printed on 30 separate index cards, the cards are shuffled, and one card is drawn. The sample consists of the 25 players on the active roster of the selected team.
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Textbook Question
Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
c. Stratified sample
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Textbook Question
Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
a. Simple random sample
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