A superintendent of a school system is interested in how the teachers working at the schools feel about the current professional development offerings, so they use the employee dashboard to randomly select 60 teachers for their survey. As it happens, approximately two teachers from each grade are chosen, and there is about the same number of teachers for each major discipline. Is this a simple random sample? Is it a representative sample?
Table of contents
- 1. Introduction to Statistics53m
- 2. Describing Data with Tables and Graphs2h 1m
- 3. Describing Data Numerically2h 8m
- 4. Probability2h 26m
- 5. Binomial Distribution & Discrete Random Variables3h 28m
- 6. Normal Distribution & Continuous Random Variables2h 21m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 37m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals22m
- Confidence Intervals for Population Mean1h 26m
- 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 33m
- 9. Hypothesis Testing for One Sample3h 32m
- 10. Hypothesis Testing for Two Samples4h 49m
- Two Proportions1h 12m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 2m
- 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 59m
- 13. Chi-Square Tests & Goodness of Fit2h 31m
- 14. ANOVA2h 1m
1. Introduction to Statistics
Sampling Methods
Struggling with Statistics for Business?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
A quality control manager wants to see how many defective products come off the line on average per day. They use a random number generator to select 100 of the 1500 units produced that day and tested whether they were defective. What type of sampling method is this?
A
Simple random sampling
B
Stratified sampling
C
Cluster sampling
D
Systematic sampling
Verified step by step guidance1
Understand the problem: The quality control manager is selecting a subset of 100 units from a total of 1500 units produced in a day using a random number generator. The goal is to determine the type of sampling method used.
Review the definitions of the sampling methods: Simple random sampling involves selecting a sample where every unit in the population has an equal chance of being chosen. Stratified sampling divides the population into subgroups (strata) and samples are taken from each subgroup. Cluster sampling involves dividing the population into clusters and randomly selecting entire clusters. Systematic sampling selects every nth unit from the population.
Analyze the method described: The problem states that a random number generator is used to select 100 units from the total population of 1500 units. This indicates that each unit has an equal chance of being selected, without any grouping or systematic pattern.
Compare the method to the definitions: Since the selection is random and does not involve dividing the population into subgroups, clusters, or using a systematic approach, the method aligns with the definition of simple random sampling.
Conclude: Based on the analysis, the sampling method used in this scenario is simple random sampling.
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