Central Limit Theorem
This theorem states that the sampling distribution of the sample mean tends toward normality as sample size increases.
What is the Central Limit Theorem?
This theorem updates the probability of a hypothesis based on new evidence
What is Bayes’ Theorem?
This condition holds when P(A and B) equals P(A) times P(B)
What is Independence?
What is the output for For( I in 1:3)
1,2,3
This is the term for a subset of data drawn from a larger population.
Empirical studies suggest this sample size is often sufficient for the sampling distribution to approximate normality.
In Bayes’ Theorem, this term represents the probability of a hypothesis before seeing the data.
What is the prior probability?
This is calculated by summing the products of each outcome and its probability
What is the expected value of a discrete random variable?
What is the purpose of Random Sampling?
To ensure that each object is equally likely to be in the sample population
These two types of variables are commonly used in statistics—one is numerical, the other categorical.
What are quantitative and qualitative variables?
According to the CLT, even if the population is J-shaped or U-shaped, the sampling distribution of the mean will tend toward this shape.
What is a normal distribution?
If E and F are independent, this simplifies the conditional probability P(EF).
What is P(EF) = P(E)?
When the probability of an event is 0.5, the odds in favor of the event are this.
What is 1?
The mean of the sampling distribution of the sample mean is equal to this value from the parent population.
What is the population mean?
This is the average of a set of numbers, calculated by summing all values and dividing by the count.
What is the mean?
The sampling distribution of the mean will have this mean and this standard deviation, even if the population is non-normal.
What are mean = μ and standard deviation = σ/√n?
Bayes’ Theorem is especially useful when this type of probability is unknown and must be inferred from past data.
What is a conditional probability?
The number of ways to choose 4 genes from a set of 20 without regard to order.
What is 20 choose 4 or 20C4?
This is the formula for the standard deviation of the sampling distribution of the mean.
What is σ/√n, the standard error of the mean?
This value ranges from 0 to 1 and represents the likelihood of an event occurring.
What is probability?
This theorem allows us to compare the difference between two independent sample means, assuming both populations are normally distributed.
What is the theorem for sampling distribution of the difference between two independent means?
This type of representation can help visualize how prior and conditional probabilities interact in Bayes’ Theorem.
What is a graphical representation of Bayes’ Theorem?
This formula defines the probability of A given B.
What is P(A|B) = P(A and B) / P(B)?
When drawing infinite samples and plotting their means, this shape emerges even if the population distribution is rectangular.
What is a normal or bell-shaped curve?
How do you create a block in R?
What is ```{r} ```