You want to know the favorite spring break destination among 15,000 students at a university. 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 your reasoning.
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
1. Intro to Stats and Collecting Data
Sampling Methods
Problem 1.4.4
Textbook Question
A(n) _______ sample is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups.
Verified step by step guidance1
Understand the problem is asking for the name of a sampling method where the population is divided into groups, and then entire groups are selected randomly.
Recall that in sampling methods, when the population is divided into groups called clusters, and then some clusters are chosen at random, including all members of those clusters, this method is known as cluster sampling.
Differentiate this from stratified sampling, where samples are taken from each group rather than entire groups being selected.
Recognize that the key characteristic here is selecting entire groups (clusters) randomly, not individuals within each group.
Conclude that the correct term to fill in the blank is 'cluster' sample.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Stratified Sampling
Stratified sampling involves dividing the population into distinct subgroups or strata based on shared characteristics, then randomly sampling individuals from each stratum. This ensures representation from all groups but does not select entire groups.
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Sampling Distribution of Sample Proportion
Cluster Sampling
Cluster sampling divides the population into groups, called clusters, and then randomly selects entire clusters to include all individuals within them. It is useful when populations are naturally grouped and can reduce data collection costs.
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Sampling Distribution of Sample Mean
Random Sampling
Random sampling is a method where every individual or group in the population has an equal chance of being selected. It helps to avoid bias and ensures that the sample represents the population fairly.
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Simple Random Sampling
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