Statprob Review

Prior to the Mid Term, we learned some topics. Among them, which ones are still relevant in the second half of the semester? (Multiple correct answers!)

• Descriptive Statistics

• Special Discrete RVs

• Probability

• Random Variables

A random variable

• maps outcomes of an experiment to an integer

• is a one to one function

• multiple outcomes can be mapped to a single number

• maps an outcome of an experiment to multiple numbers

The following can be used to describe the probabilities of a continuous RV (Multiple correct answers)

• PMF

• PDF

• CDF

• All options incorrect

I wonder if you like KPOP. If X is the number of students I need to ask until I get a YES answer, X is a

• Bernoulli RV

• Binomial RV

• Geometric RV

• Hypergeometric RV

The number of questions I get during a 100 minute statprob class is around 10 questions per class. If X is the number of questions in the first hour, the X is a

• Poisson RV

• Uniform RV

• Exponential RV

• Normal RV

The number of questions I get during a 100 minute statprob class is around 10 questions per class. If Y is the time until a question is asked, then Y is a

• Poisson RV

• Uniform RV

• Exponential RV

• Normal RV

What is incorrect regarding a normal variable?

• It is symmetric

• The mean is 0 and the variance is 1

• It looks like a Bell

• It can be converted to a standard normal variable

From the statistics obtained from the sample we use the central limit theory to

• Estimate the distribution of sampling statistics

• Estimate the parameters

• Construct the Confidence Interval

• Test a Hypothesis

I construct a 90% and 95% confidence interval (CI). Which statement is correct

• The 90% CI is wider than the 95% CI

• If I construct 90% CI 100 times, 90 CIs will correctly include the population mean

• I am more confident with the 90% CI than the 95% CI

• A higher alpha shows more confidence

In 2020, COVID-19 moved all our courses online. Due to this fact, I theorize that the maximum score possible for the Statprob final is 70. I record the Statprob final test scores from 21 students to prove this point. To prove this through hypothesis testing, what type of test do I do?

• 1 population, variance known

• 1 population, variance unknown

• 2 populations, variance unknown but equal

• 2 populations, variance unknown but unequal