Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Intro to Stats
Problem 1.2.4.a
Textbook Question
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.

1
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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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:
Sampling 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:
Sampling Distribution of Sample Proportion
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