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
462
views
Ch. 1 - Introduction to Statistics
Triola14th EditionElementary StatisticsISBN: 9780137366446
Not the one you use?Change textbookSelect a different textbook
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 1.3.8c
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
Verified step by step guidance1
Identify the strata within the population. In this case, you might divide the students into different groups based on characteristics such as year of study, major, or performance level.
Ensure that each stratum is mutually exclusive and collectively exhaustive, meaning every student belongs to one and only one stratum, and all students are included in the strata.
Determine the number of students to sample from each stratum. This can be proportional to the size of the stratum or equal across strata, depending on the research goals.
Randomly select students from each stratum. Use a random sampling method such as drawing names from a hat or using a random number generator to ensure each student has an equal chance of being selected within their stratum.
Combine the selected students from each stratum to form the final sample of six students, ensuring that the sample reflects the diversity of the population as represented by the strata.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
3mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Stratified Sampling
Stratified sampling is a method of sampling that involves dividing a population into smaller groups, known as strata, that share similar characteristics. A random sample is then taken from each stratum. This technique ensures that each subgroup is adequately represented in the sample, improving the accuracy and representativeness of the results.
Recommended video:
05:11
Sampling Distribution of Sample Proportion
Population and Sample
In statistics, the population refers to the entire group that you want to draw conclusions about, while a sample is a subset of the population that is used to represent the whole. Sampling is crucial because it allows researchers to gather insights without needing to study the entire population, which is often impractical or impossible.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Random Sampling
Random sampling is a technique where each member of the population has an equal chance of being selected. This method helps to eliminate bias in the selection process, ensuring that the sample is representative of the population. In stratified sampling, random sampling is applied within each stratum to maintain the randomness and representativeness of the sample.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Related Practice
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)
c. What is the level of measurement of the value of 3.7%? (nominal, ordinal, interval, ratio)
301
views
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.
272
views
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.
c. The number of albums sold by the Monkees band
246
views
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
279
views
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.
d. Cluster sample
292
views