Table of contents
- 1. Intro to Stats and Collecting Data24m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables1h 16m
- 6. Normal Distribution and Continuous Random Variables58m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 5m
- 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 1.3.20
Textbook Question
In Exercises 9–20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.
Highway Strength The New York State Department of Transportation evaluated the quality of the New York State Thruway by testing core samples collected at regular intervals of 1 mile.

1
Understand the different types of sampling methods: Random sampling involves selecting a sample in such a way that every possible sample has an equal chance of being chosen. Systematic sampling involves selecting every nth item from a list or sequence. Convenience sampling involves selecting a sample that is easy to access. Stratified sampling involves dividing the population into subgroups and taking a sample from each subgroup. Cluster sampling involves dividing the population into clusters and then randomly selecting entire clusters.
Identify the key details in the problem: The New York State Department of Transportation is testing core samples collected at regular intervals of 1 mile.
Recognize the pattern of sample collection: The samples are collected at regular intervals, which suggests a systematic approach.
Relate the pattern to a sampling method: Since the samples are collected at regular intervals (every 1 mile), this aligns with the definition of systematic sampling.
Conclude the type of sampling used: Based on the regular interval collection method, the sampling method used is systematic sampling.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Sampling Methods
Sampling methods are techniques used to select individuals or items from a larger population to make inferences about that population. Common types include random sampling, where every member has an equal chance of selection; systematic sampling, which involves selecting every nth member; and convenience sampling, which relies on readily available subjects.
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Systematic Sampling
Systematic sampling is a method where samples are selected at regular intervals from a larger population. For example, if a researcher decides to take samples every 10th individual in a list, this approach ensures a structured and evenly distributed selection process, which can help reduce bias compared to purely random sampling.
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Sampling Distribution of Sample Proportion
Core Sampling
Core sampling is a technique used to obtain a cylindrical section of material from a specific location, often used in geological and construction studies. In the context of the New York State Thruway, core samples taken at regular intervals help assess the quality and strength of the highway's materials, providing critical data for infrastructure evaluation.
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Sampling Distribution of Sample Proportion
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