Stats prodecures, analogies, and people

stat idea: Sample vs.census

analogy: taking a blood sample at your health check up

Type 1 error: In a jury trial, convicting an innocent person

Type 2 error: In a jury trial, letting a guilty person go free

Stat idea: alpha vs. p-value

Analogy: alpha - does a high jumper clear the high jump bar?

p-value - by how much does a high jumper clear the bar

Who created the binomial distribution and what is it? And what type of probability model?

The binomial distribution was created by David Bernoulli, and it represents the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

Its a discrete probability model

What is the normal distribution and the empirical rule? Who made it? And what type of probability model?

The normal distribution is a continuous probability distribution characterized by its bell-shaped curve, where most observations cluster around the mean.

The empirical rule states that about 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.

It was introduced by Carl Gauss. ‘

Continuous probability model

What is the T distribution? What company did it originate from? Who made it? What type of probability model?

The T distribution is a continuous probability distribution used in statistics, especially for small sample sizes, to estimate population parameters when the standard deviation is unknown.

It originated from the work of William Sealy Gosset while working for the Guinness Brewery.

The T distribution is also known as Student's T distribution.