21. What does the central limit theorem state?
- The sampling distribution of the mean approaches a normal distribution as the sample size increases.
- The sampling distribution of the mean approaches a Poisson distribution as the sample size increases.
- The sampling distribution of the mean approaches a binomial distribution as the sample size increases.
- The sampling distribution of the mean approaches a Bernoulli distribution as the sample size increases.
22. A data professional is working with data about annual household income. They want to use Python to simulate taking a random sample of income values from the dataset. They write the following code: sample(n=100, replace=True, random_state=230). What is the sample size of the random sample?
- 23
- 100
- 230
- 10
23. Which of the following scenarios would benefit from replacing their current sample with a representative sample? Select all that apply.
- A researcher conducts a survey on the experience of high school students. For their sample, they choose students from a variety of academic, social, and cultural backgrounds.
- A researcher conducts an employee satisfaction survey for a company. For their sample, they choose employees who have worked at the company for at least 25 years.
- A researcher conducts a poll for an upcoming national election. For their sample, they choose voters from a single city.
- A researcher conducts a survey on computer skills among university students. For their sample, they choose students who major in computer science.
24. Which sampling method involves choosing members of a population who are easy to contact or reach?
- Purposive sampling
- Voluntary response sampling
- Convenience sampling
- Snowball sampling
25. Fill in the blank: The central limit theorem states that the _____ of the mean approaches a normal distribution as the sample size increases.
- sampling variability
- sampling distribution
- sampling bias
- sampling frame