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
8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
9. Hypothesis Testing for One Sample3h 29m
10. Hypothesis Testing for Two Samples4h 50m
11. Correlation1h 6m
12. Regression1h 50m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 57m

1. Intro to Stats and Collecting Data

Intro to Stats

Statistics

1. Intro to Stats and Collecting Data

Intro to Stats

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2:41 minutes

Problem 1.3.8a

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.

a. Simple random sample

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Define the population: In this case, the population is all the students currently in your statistics class.

Assign a unique number to each student in the class. For example, if there are 30 students, assign numbers from 1 to 30.

Use a random number generator to select six unique numbers from the range of assigned numbers. This can be done using a calculator, computer software, or an online random number generator.

Match the randomly selected numbers to the corresponding students in the class. These students will form your simple random sample.

Ensure that each student has an equal chance of being selected, which is a key characteristic of a simple random sample.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Simple Random Sampling

Simple random sampling is a method where each member of the population has an equal chance of being selected. This can be achieved by assigning a unique number to each student and using a random number generator to select six numbers, ensuring that the sample is unbiased and representative of the entire class.

Population and Sample

In statistics, the population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population selected for analysis. Understanding the distinction is crucial, as the sample should accurately reflect the population to make valid inferences.

Random Number Generation

Random number generation is a process used to produce a sequence of numbers that lack any pattern, ensuring randomness. In the context of sampling, it is used to select individuals from a population without bias, often through tools like random number tables or computer algorithms.

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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

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.

Textbook Question

Sampling Method The patients were recruited among those at a Veterans Affairs hospital. What type of sampling best describes the way in which the subjects were chosen: simple random sample, systematic sample, convenience sample, stratified sample, cluster sample? Does the method of sampling appear to adversely affect the quality of the results?

Textbook Question

Exercises 5–8 refer to the study of an association between which ear is used for cell phone calls and whether the subject is left-handed or right-handed. The study is reported in “Hemispheric Dominance and Cell Phone Use,” by Seidman et al., JAMA Otolaryngology—Head & Neck Surgery, Vol. 139, No. 5. The study began with a survey e-mailed to 5000 people belonging to an otology online group, and 717 surveys were returned. (Otology relates to the ear and hearing.)

Experiment or Observational Study Is the study an experiment or an observational study? Explain.

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

Textbook Question

c. Stratified sample

Textbook Question

d. Cluster sample

Textbook Question

e. Convenience sample

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